Question

(a^2-b^2)(a^2+b^2)-(a^2-b^2) ​

Answer 1

Answer:

Let's simplify step-by-step.

(a²−b²)(a²+b²)−(a²−b²)

Distribute the Negative Sign:

=(a²−b²)(a²+b²)+−1(a²−b²)

=(a²−b²)(a²+b²)+−1a²+−1(−b²)

=(a²−b²)(a²+b²)+−a²+b²

Distribute:

=(a²)(a²)+(a²)(b²)+(−b²)(a²)+(−b²)(b²)+−a²+b²

=a^4+a²b²+−a²b²+−b^4+−a²+b²

Combine Like Terms:

=a^4+a²b²+−a²b²+−b^4+−a²+b²

=(a^4)+(a²b²+−a²b²)+(−b^4)+(−a²)+(b²)

=a^4+−b^4+−a²+b²

=a^4−b^4−a²+b²

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