Question

Simplify : (q^2-p^2) (q^2 + p^2)-(q^2-p^2)^2​

Answer 1

Answer:

2p^2(q^2-p^2)

Step-by-step explanation:

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

APPLYING (A+B)(A-B)=A^2-B^2

THEN

(q^2)^2-(p^2)^2-(q^4+(p^2)^2-2*q^2*p^2)

(q^4-p^4)-(q^4+p^4-2*q^2p^2)

-p^4-p^4+2q^2p^2

2q^2p^2-2p^4

2p^2(q^2-p^2)

BEST OF LUCK !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!