Question

p^2x^2+(p^2-q^2)x-q^2

Answer 1

Hello,

The polynomial is
$p(x) = {p}^{2} {x}^{2} + ( {p}^{2} - {q}^{2} )x - {q}^{2} \\ or = {p}^{2} {x}^{2} + {p}^{2} x - {q}^{2} x - {q}^{2} \\ = {p}^{2} x(x + 1) - {q}^{2} (x + 1) \\ = (x + 1)( {p}^{2} x - {q}^{2} )$
So,

After factorization we got the answer. (^)

I have simply multiplied the bracket term to remove the bracket.
Next ,
I have taken the terms common and got the answer.

Please refer the above equation formed for the question.

It is the easiest way to solve this question.
If any doubt please let me know.

Hope this will be helping you ✌️