Question

simplify (a2+b2)2-(a2-b2)2

Answer 1

Answer:

$( {a}^{2} + {b}^{2} ) {}^{2} - ( {a}^{2} - {b}^{2} ) {}^{2} \\ {a} {}^{4} + {b}^{4} + 2 {a}^{2} {b}^{2} - ({a} {}^{4} + {b}^{4} - 2 {a}^{2} {b}^{2}) \\ {a} {}^{4} + {b}^{4} + 2 {a}^{2} {b}^{2} - {a} {}^{4} - {b}^{4} + 2 {a}^{2} {b}^{2} \\ = 4 {a}^{2} {b}^{2}$

by using a+b and a-b whole square formula