Question

Factorize: (p+q)²-20(p+q)-125.

Answer 1

Answer:

let (p+q)=a

a^2-20a-125

a^2-25a+5a-125

a (a-25)+5(a-25)

(a-25)(a+5)

Answer 2

Answer:

Let (p+q) be X

Now ,

x^2-20 x -125

= x^2-(25-5)X -125

=x^2-25x +5x -125

=x(x-25)+5 (x-25)

=(x+5) (x-25)