NCERT Solutions Class 8 Maths Chapter 9 Exercise 9.2
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NCERT Solutions For Class 8 Maths Chapter 9 Algebraic Expressions And Identities (EX 9.2) Exercise 9.2
The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2 provided here consist of a comprehensive analysis of all questions that fall under Chapter 7, Cubes and Cube Roots, of the Class 8 NCERT Mathematics textbook. Following the terminology used in NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2, students can clear all their doubts about retrieving Cubes and Cube Roots. These responses are drafted by Extramarks’ subjectmatter experts according to the latest CBSE syllabus.
Access NCERT Solutions For Class 8 Chapter 9Algebraic Expressions And Identities
Students can download the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2, because key question ideas will help students prepare for the Mathematics exam in Class 8. The important questions from Exercise 9.2 can be solved with the help of NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2. The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2 covers all important topics from the chapter. Students will gain a lot of benefits by preparing the essential questions with the help of solutions.
Students can find solutions to all the questions from Exercise 9.2 with the help of NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2. If students prepare all the questions, the exam will be less stressful and they will feel more confident. Students should practice key questions and NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2 a few times and practice them quite often for optimal preparation.
Students must download the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2, and use them as one of their primary study materials for the Class 8 Mathematics exam. The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2 also helps when it comes to revision purposes. Chapters can be easily revised with the help of these solutions, and most of the important topics can be covered.
Students sometimes feel under pressure when studying Mathematics. It is possible that the pressure they feel as a result of their preparation will negatively affect their performance on the exam. As a result, they must prepare well for the exams so that they can perform at their best. Furthermore, they should have access to sufficient study materials and preparation resources.
NCERT Solutions For Class 8 Maths Chapter 9 Algebraic Expressions And Identities Exercise 9.2
The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2, are considered to be the best option for CBSE students when it comes to exam preparation. The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2 comprises the solutions for various questions. Students can gain a lot from these NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2. Extramarks provides the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2, on its website in PDF format. Students can download the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2 at their convenience or study directly online from the website or mobile application.
Extramarks’ subjectmatter experts compile the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2, and the exercise questions meticulously and in compliance with all CBSE guidelines. A Class 8 student who is familiar with every concept from the Mathematics textbook and every problem from the exercises in it will easily get the best possible score in the final exam. With the help of the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2 for Class 8 Mathematics Chapter 9 Exercise 9.2, students can easily understand the patterns of questions that may appear in the exams in this chapter and also learn how to gain extra marks. So that they can prepare well with the help of NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2 for their final exam.
NCERT Solutions For Class 8
In addition to the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2 there are many solutions for the questions in this chapter. As mentioned, all the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2, are resolved or answered by technical experts. Therefore, they should all be of the highest quality and can be referenced by anyone while preparing for the exams. Students must understand all the concepts from the textbook and the ones mentioned in NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2, as these are very important to scoring higher grades in the exams.
Students must download the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2 from the Extramarks website and get ready for their exams. If students have the Extramarks application installed on their smartphones, accessing these learning resources can get easier for them. The best part about these NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.2, is that they are easily accessible offline once downloaded.
Q.1 Find the product of the following pairs of monomials.
(I) 4, 7p
(ii) – 4p, 7p
(iii) – 4p, 7pq
(iv) 4p^{3}, –3p
(v) 4p, 0
Ans
(i) 4 × 7p = 4 × 7 × p = 28p
(ii) –4p × 7p = (–4) × 7 × p × p = –28p^{2}
(iii) –4p × 7pq =(–4) × 7 × p × p × q = –28p^{2}q
(iv) 4p^{3 }× (–3p) = 4 × (–3) × p^{3 }× p = –12p^{4 }
(v) 4p × 0 = 4 × p × 0 = 0
Q.2 Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively.
(p, q); (10m, 5n); (20x^{2}, 5y^{2}); (4x, 3x^{2}); (3mn, 4np)
Ans
$\begin{array}{c}\text{\hspace{0.17em} \hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}Area of rectangle}=\text{Length \xd7 Breadth}\\ \text{Area of first rectangle}=\text{}\mathrm{p}\times \mathrm{q}\text{}\\ \text{}=\mathrm{pq}\\ \text{Area of second rectangle}=\text{}10\mathrm{m}\times \mathrm{}5\mathrm{n}\\ =10\times 5\times \mathrm{m}\times \mathrm{n}\\ =50\text{}\mathrm{mn}\\ \text{Area of third rectangle}\mathrm{}=20{\mathrm{x}}^{2}\times 5{\mathrm{y}}^{2}\\ =20\times 5\times {\mathrm{x}}^{2}\times {\mathrm{y}}^{2}\\ =100\text{}{\mathrm{x}}^{2}{\mathrm{y}}^{2}\\ \text{Area of fourth rectangle}\mathrm{}=4\mathrm{x}\times 3{\mathrm{x}}^{2}\\ =4\times 3\times \mathrm{x}\times {\mathrm{x}}^{2}\\ =\text{}12{\mathrm{x}}^{3}\\ \text{Area of fifth rectangle}\mathrm{}=3\mathrm{mn}\times 4\mathrm{np}\\ =3\times 4\times \mathrm{m}\times \mathrm{n}\times \mathrm{n}\times \mathrm{p}\\ =12\text{}{\mathrm{mn}}^{2}\mathrm{p}\end{array}$
Q.3 Complete the table of products.
$\begin{array}{ccccccc}\hline \frac{\mathrm{First}{\displaystyle \text{\hspace{0.33em}}}\mathrm{monomial}\to}{\mathrm{Second}{\displaystyle \text{\hspace{0.33em}}}\mathrm{monomial}\downarrow}& 2\mathrm{x}& 5\mathrm{y}& 3{\mathrm{x}}^{2}& 4\mathrm{xy}& 7{\mathrm{x}}^{2}\mathrm{y}& 9{\mathrm{x}}^{2}{\mathrm{y}}^{2}\\ 2\mathrm{x}& 4{\mathrm{x}}^{2}& ...& ...& ...& ...& ...\\ 5\mathrm{y}& ...& ...& 15{\mathrm{x}}^{2}\mathrm{y}& ...& ...& ...\\ 3{\mathrm{x}}^{2}& ...& ...& ...& ...& ...& ...\\ 4\mathrm{xy}& ...& ...& ...& ...& ...& ...\\ 7{\mathrm{x}}^{2}\mathrm{y}& ...& ...& ...& ...& ...& ...\\ 9{\mathrm{x}}^{2}{\mathrm{y}}^{2}& ...& ...& ...& ...& ...& ...\\ \hline\end{array}$
Ans
$\begin{array}{ccccccc}\hline \frac{\begin{array}{l}\mathrm{First}\\ \mathrm{monomial}\to \end{array}}{\begin{array}{l}\mathrm{Second}\\ \mathrm{monomial}\downarrow \end{array}}& 2\mathrm{x}& 5\mathrm{y}& 3{\mathrm{x}}^{2}& 4\mathrm{xy}& 7{\mathrm{x}}^{2}\mathrm{y}& 9{\mathrm{x}}^{2}{\mathrm{y}}^{2}\\ 2\mathrm{x}& 4{\mathrm{x}}^{2}& \underset{\xaf}{10\mathrm{xy}}& \underset{\xaf}{6{\mathrm{x}}^{3}}& \underset{\xaf}{8{\mathrm{x}}^{2}\mathrm{y}}& \underset{\xaf}{14{\mathrm{x}}^{3}\mathrm{y}}& \underset{\xaf}{18{\mathrm{x}}^{3}{\mathrm{y}}^{2}}\\ 5\mathrm{y}& \underset{\xaf}{10\mathrm{xy}}& \underset{\xaf}{25{\mathrm{y}}^{2}}& 15{\mathrm{x}}^{2}\mathrm{y}& \underset{\xaf}{20{\mathrm{xy}}^{2}}& \underset{\xaf}{35{\mathrm{x}}^{2}{\mathrm{y}}^{2}}& \underset{\xaf}{45{\mathrm{x}}^{2}{\mathrm{y}}^{3}}\\ 3{\mathrm{x}}^{2}& \underset{\xaf}{6{\mathrm{x}}^{3}}& \underset{\xaf}{15{\mathrm{x}}^{2}\mathrm{y}}& \underset{\xaf}{9{\mathrm{x}}^{4}}& \underset{\xaf}{12{\mathrm{x}}^{3}\mathrm{y}}& \underset{\xaf}{21{\mathrm{x}}^{4}\mathrm{y}}& \underset{\xaf}{27{\mathrm{x}}^{4}{\mathrm{y}}^{2}}\\ 4\mathrm{xy}& \underset{\xaf}{8{\mathrm{x}}^{2}\mathrm{y}}& \underset{\xaf}{20{\mathrm{xy}}^{2}}& \underset{\xaf}{12{\mathrm{x}}^{3}\mathrm{y}}& \underset{\xaf}{16{\mathrm{x}}^{2}{\mathrm{y}}^{2}}& \underset{\xaf}{28{\mathrm{x}}^{3}{\mathrm{y}}^{2}}& \underset{\xaf}{36{\mathrm{x}}^{3}{\mathrm{y}}^{3}}\\ 7{\mathrm{x}}^{2}\mathrm{y}& \underset{\xaf}{14{\mathrm{x}}^{3}\mathrm{y}}& \underset{\xaf}{35{\mathrm{x}}^{2}{\mathrm{y}}^{2}}& \underset{\xaf}{21{\mathrm{x}}^{4}\mathrm{y}}& \underset{\xaf}{28{\mathrm{x}}^{3}{\mathrm{y}}^{2}}& \underset{\xaf}{49{\mathrm{x}}^{4}{\mathrm{y}}^{2}}& \underset{\xaf}{63{\mathrm{x}}^{4}{\mathrm{y}}^{3}}\\ 9{\mathrm{x}}^{2}{\mathrm{y}}^{2}& \underset{\xaf}{18{\mathrm{x}}^{3}{\mathrm{y}}^{2}}& \underset{\xaf}{45{\mathrm{x}}^{2}{\mathrm{y}}^{3}}& \underset{\xaf}{27{\mathrm{x}}^{4}{\mathrm{y}}^{2}}& \underset{\xaf}{36{\mathrm{x}}^{3}{\mathrm{y}}^{3}}& \underset{\xaf}{63{\mathrm{x}}^{4}{\mathrm{y}}^{3}}& \underset{\xaf}{81{\mathrm{x}}^{4}{\mathrm{y}}^{4}}\\ \hline\end{array}$
Q.4 Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
(I) 5a, 3a^{2}, 7a^{4}
(ii) 2p, 4q, 8r
(iii) xy, 2x^{2}y, 2xy^{2}
(iv) a, 2b, 3c
Ans
Volume of the the rectangular boxes = Length × Breadth × Height
(i) Volume = 5a × 3a^{2 }× 7a^{4 }
= 5 ×3 ×7 × a × a^{2 }× a^{4 }
= 105a^{7}
(ii) Volume = 2p × 4q × 8r
= 2 × 4 × 8 × p × q × r
= 64pqr
(iii) Volume = xy × 2x^{2}y × 2xy^{2}
= 2 × 2 × x × x^{2 }× x × y × y × y^{2}
= 4x^{4}y^{4}
(iv) Volume = a × 2b × 3c
= 2 × 3 × a × b × c
= 6abc
Q.5 Obtain the product of
(i) xy, yz, zx
(ii) a, – a^{2}, a^{3}
(iii) 2, 4y, 8y^{2}, 16y^{3}
(iv) a, 2b, 3c, 6abc
(v) m, – mn, mnp
Ans
$\begin{array}{l}\left(\text{i}\right)\text{}\mathrm{xy}\times \mathrm{yz}\times \mathrm{zx}=\mathrm{x}\times \mathrm{y}\times \mathrm{y}\times \mathrm{z}\times \mathrm{z}\times \mathrm{x}\\ ={\mathrm{x}}^{2}{\mathrm{y}}^{2}{\mathrm{z}}^{2}\\ \\ \mathrm{}\left(\text{ii}\right)\mathrm{a}\times \text{(}\u2013{\mathrm{a}}^{2})\times \text{\hspace{0.17em}}{\mathrm{a}}^{3}={\mathrm{a}}^{6}\\ \\ \left(\text{iii}\right)\text{2}\times \text{4}\mathrm{y}\times \text{8}{\mathrm{y}}^{2}\times \text{16}{\mathrm{y}}^{3}=\text{2}\times \text{4}\times \text{8}\times \text{16 \xd7}\mathrm{y}\times {\mathrm{y}}^{2}\times {\mathrm{y}}^{3}\\ =1024{\mathrm{y}}^{6}\\ \\ \left(\text{iv}\right)\mathrm{a}\times \text{2}\mathrm{b}\times \text{3}\mathrm{c}\times \text{6}\mathrm{abc}=2\times 3\times 6\times \mathrm{a}\times \mathrm{b}\times \mathrm{c}\times \mathrm{abc}\\ =36{\mathrm{a}}^{2}{\mathrm{b}}^{2}{\mathrm{c}}^{2}\\ \\ \mathrm{}\left(\text{v}\right)\mathrm{m}\times (\u2013\mathrm{mn})\times \mathrm{mnp}=\mathrm{m}\times (\u2013\mathrm{m})\times \mathrm{n}\times \mathrm{m}\times \mathrm{n}\times \mathrm{p}\\ ={\mathrm{m}}^{3}{\mathrm{n}}^{2}\mathrm{p}\end{array}$
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FAQs (Frequently Asked Questions)
1. How will Class 8 Maths Exercise 9.2 Solution help with students' board exams?
The solutions for Class 8 Maths Exercise 9.2 contain detailed explanations for all the selfassessments set by the board to provide the answers. Solving questions with help of the Class 8 Maths Chapter 9 exercise 9.2 solutions will be an excellent way to prepare well for the examinations. Therefore, it is clear that NCERT Class 8 Mathematics Chapter 9 solutions are essential for successful exam performance. Students are more comfortable with written exams and feel more confident about their preparation.
2. Do students need to practice all exercises in NCERT Class 8 Maths Chapter 9 Exercise 9.2?
Yes, it is mandatory to practice all exercises in Chapter 9 of NCERT Solutions for Class 8 Mathematics. Every exercise has many questions to solve, so it can be a final problem. This makes them feel more confident about the curriculum they have. Topics covered in Chapter 9 of the NCERT Class 8 Mathematics Solutions are 9.1 – Introduction to Equations, 9.2 – Terms, Factors, Coefficients, 9.3 – Monomials, Binomials, and Polynomials, 9.4 – Equal and Different Terms, 9.5 – Algebra addition and subtraction of Expressions, 9.6 – Multiplication of Algebraic Expressions: Introduction, 9.7 – Monomial Multiplication by Monomial Expressions, 9.8 – Monomial Multiplication by Polynomial Expressions, 9.9 – Multiplication of Polynomials by Polynomial Expressions, 9.10 – Definition and Meaning of Units, 9.11 – Default IDs and 9.12 – IDs application.