factorize (a+b) ⁴ —(a–b) ⁴
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Step-by-step explanation:
(a+b)⁴-(a-b)⁴
=[(a+b)²+(a-b)²][(a+b)²-(a-b)²]
=((a+b)²+(a-b)²)(a+b+a-b)(a+b-(a-b))
=(2a²+2b²)(2a)2b
=8(a²+b²)ab
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