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a^4 - (a-b)^4
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a⁴ - (a-b)⁴
=(a²)² - [(a-b)²]²
= [a²-(a-b)²][a²+(a-b)²]
***********************
We know the algebraic identity:
x² - y² = (x-y)(x+y)
**********************
=[a-(a-b)][a+(a-b)][a²+a²-2ab+b²]
=(a-a+b)(a+a-b)(2a²-2ab+b²)
= b(2a-b)(2a²-2ab+b²)
••••
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this is the best answer
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