# NCERT Solutions For Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1

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## NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1

NCERT TEXTBOOK EXERCISES

Question 1. Identify the terms, their coefficients for each of the following expressions:

(i) 5xyz2−3zy
(ii) 1+x+x2
(iii) 4x2y2−4x2y2z2+z2
(iv) 3 – pq + qr – rp
(v) x/2+y/2−xy
(vi) 0.3a – 0.6ab + 0.5b.

Solution.

(i) 5xyz2−3zy

(ii) 1+x+x2

(iii) 4x2y2−4x2y2z2+z2

(iv) 3 – pq + qr – rp

(v) x/2+y/2−xy

(vi)0.3a – 0.6ab + 0.5b.

Question 2. Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?

Solution.

(i) ab – be, be – ca, ca – ab
(ii) a -b + ab, b – c + be, c – a + ac
(iii) $2{ p }^{ 2 }{ q }^{ 2 }-3pq+4,\quad 5+7pq-3{ p }^{ 2 }{ q }^{ 2 }$
(iv) ${ l }^{ 2 }+{ m }^{ 2 },\quad { m }^{ 2 }+{ n }^{ 2 },\quad { n }^{ 2 }+{ l }^{ 2 }$, 2lm + 2mn + 2nl.

Solution.

(i) ab – be, be – ca, ca – ab

(ii) a -b + ab, b – c + be, c – a + ac

(iii) $2{ p }^{ 2 }{ q }^{ 2 }-3pq+4,\quad 5+7pq-3{ p }^{ 2 }{ q }^{ 2 }$

(iv) ${ l }^{ 2 }+{ m }^{ 2 },\quad { m }^{ 2 }+{ n }^{ 2 },\quad { n }^{ 2 }+{ l }^{ 2 }$, 2lm + 2mn + 2nl.

Question 4.

(a) Subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 56 – 3
(b) Subtract 3xy + 5yz – 7zx from 5xy – 2yz – 2zx + 10xyz
(c) Subtract $4{ p }^{ 2 }q-3pq+5p{ q }^{ 2 }-8p+7q-10$ from $18-3p-11q+5pq-2p{ q }^{ 2 }+5{ p }^{ 2 }q$

Solution.

## NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Exercise 9.1 PDF

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