Question

Using the idenentity (a-b)^2 =a^2-2ab+b^2 to compute (p^2-q^2)^2

Answer 1

Answer:

p⁴ - 2p²q² + q⁴

Step-by-step explanation:

→ ( p^2 - q^2 )^2

Using ( a - b )^2 = a^2 - 2ab + b^2.

Here,

a = p^2

b = q^2

So,

→ ( p^2 - q^2 )^2

→ ( p² )² - 2(p²)(q²) + ( q² )²

→ p⁴ - 2p²q² + q⁴

Hence,

( p² - q² ) = p⁴ - 2p²q² + q⁴