Simplify the following:(a²-b²)(a²+b²)-(a²-b²)²
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Answer:
(a² - b²)(a² + b²) - (a²- b²)²
= (a²)²-(b²)² -(a²-b²)²
= a⁴-b⁴-(a⁴-2a²b²+b⁴)
= a⁴-b⁴-a⁴+2a²b²-b⁴
= -2b⁴+2a²b²
= -2(b⁴-a²b²)
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