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NCERT Solutions Class 8 Mathematics Solutions for Exercise 9.1 in Chapter 9 - Algebraic Expressions and Identities

Question 6 Exercise 9.1

Q3) Add the following:

(i) ab - bc, bc - ca, ca - ab

(ii) a - b + ab, b - c + bc, c - a + ac

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

(iv) l^2+m^2,\ m^2+n^2,n^2+l^2+2lm+2mn+2n

Answer:

Solution:

(i) ab - bc, bc - ca, ca - ab

NCERT Solutions - Mathematics , Class 8 chapter Algebraic Expressions and Identities Question 6 Solution image

(ii) a - b + ab, b - c + bc, c - a + ac

NCERT Solutions - Mathematics , Class 8 chapter Algebraic Expressions and Identities Question 6 Solution image

Hence the sum if 0.

Hence the sum is ab + bc + ac

(iii) 2p^2q^2-3pq+4,5+7pq-3p^2q^2

NCERT Solutions - Mathematics , Class 8 chapter Algebraic Expressions and Identities Question 6 Solution image

(iv) l^2+m^2,m^2+n^2,n^2+l^2,2lm+2mn+2nl

NCERT Solutions - Mathematics , Class 8 chapter Algebraic Expressions and Identities Question 6 Solution image

Hence the sum is -p^2q^2+4pq+9

Hence the sum is

2\left(l^2+m^2+n^2+lm+mn+nl\right)

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