Question

evaluate:
(a^2 - b^2)^2

Answer 1

Answer:

a^4 - 2a^2b^2 + b^4

Step-by-step explanation:

(a^2 - b^2 )^2

= (a^2 - b^2)( a^2 - b^2 )

= a^2 ( a^2 - b^2 ) - b^2 ( a^2 - b^2 )

= (a^4 - a^2b^2 ) - ( a^2b^2  + b^4)

= a^4 - 2a^2b^2 + b^4