factorize (a + b)^3 - 8(a - b)^3
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(a+b)³-8(a-b) ³
=(a+b)³- (2a-2b)³
=(a+b-2a+2b){(a+b)²+(a+b)(2a-2b) +(2a-2b)²}
=(3b-a)(a²+2ab+b²+2a²+2ab-2ab-2b²+4a²-8ab+4b²)
=(3b-a) (7a²-6ab+3b²)
=(a+b)³- (2a-2b)³
=(a+b-2a+2b){(a+b)²+(a+b)(2a-2b) +(2a-2b)²}
=(3b-a)(a²+2ab+b²+2a²+2ab-2ab-2b²+4a²-8ab+4b²)
=(3b-a) (7a²-6ab+3b²)
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