Factorize:

64a3+125b3+240a2b+300ab2

Given,


64a3 + 125b3 + 240a2b + 300ab2,


= (4a)3 + (5b)3 + 60ab (4a + 5b)


= (4a)3 + (5b)3 + 3×4a×5b (4a + 5b)


= (4a+5b)3


= (4a+5b)(4a+5b)(4a+5b)


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