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Factorize: 64a^3 + 125b^3 + 240a^2b + 300ab^2.

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Factorize: 64a3 + 125b3 + 240a2b + 300ab2.

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64a3 + 125b3 + 240a2b + 300ab2 

= (4a)3 + (5b)3 + 3(4a)2(5b) + 3(4a)(5b)2 , which is similar to a3 + b3 + 3a2b + 3ab2 

We know that, a3 + b3 + 3a2b + 3ab2 = (a+b)3] 

= (4a+5b)3

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