Question

(a²- b²) (a² + b²) - (a²- b²)²​

Answer 1

Answer:

=(a²- b²) (a² + b²) - (a²- b²)²

=[(a²)²-(b²)²] -(a²-b²)²

= (a⁴-b⁴)- [(a²)²-2a²b²+(b²)²]

= a⁴-b⁴-a⁴+2a²b²-b⁴

= 2a²b²-2b⁴

=2b²(a²-b²)

=2b²(a+b)(a-b)

Step-by-step explanation:

Formulas:

a²-b²= (a+b)(a-b)

(a-b)²=(a²-2ab+b²)

Answer 2

Step-by-step explanation:

$= a { }^{2} - b {}^{2}( a {}^{2} + b {}^{2} (a {}^{2} - b {}^{2} )) \\ = (a {}^{2} - b {}^{2} )2b {}^{2} \\ = 2a {}^{2} b {}^{2} - 2b {}^{3}$