Question

Factorize p2 + q2 + 5a(p2 + q2)

Answer 1

Answer:

p2 + q2 + 5a(p2 + q2)

= (p2 + q2)(1 + 5a)

Answer 2

The factorized form is $(1+5a^2)(p^2+q^2)$

Step-by-step explanation:

Since we have given that

$p^2+q^2+5a(p^2+q^2)\\\\=p^2+q^2+5ap^2+5aq^2\\\\=(1+5a)p^2+(1+5a)q^2\\\\=(1+5a^2)(p^2+q^2)$

Hence, the factorized form is $(1+5a^2)(p^2+q^2)$

# learn more:

2x(p2 + q2) + 4y(p2 + q2)​

https://brainly.in/question/10796465