# Factorize Each of the Following Algebraic Expression: X2 + 9y2 − 6xy − 25a2 - Mathematics

Sum

Factorize each of the following algebraic expression:
x2 + 9y2 − 6xy − 25a2

#### Solution

$25 - p^2 - q^2 - 2pq$
$= 25 - ( p^2 + 2pq + q^2 )$
$= 5^2 - ( p^2 + 2 \times p \times q + q^2 )$
$= 5^2 - (p + q )^2$
$= [5 - (p + q)][5 + (p + q)]$
$= (5 - p - q)(5 + p + q)$
$= - (p + q - 5)(p + q + 5)$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 7 Factorization
Exercise 7.6 | Q 18 | Page 23

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