Factorize:

32x4 – 500x

We know that,


a3 - b3 = (a - b) (a2 + a × b + b2)


Using this formula, we get


= 4x (8x3 – 125)


= 4x [(2x)3 – (5)3]


= 4x [(2x – 5) [(2x)2 + 2x (5) + (5)2]


= 4x (2x – 5) (4x2 + 10x + 25)


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