Factorize:

16x4 + 54x


We know that,


a3 + b3 = (a + b) (a2 – a × b + b2)


Using this formula, we get


= 2x (8x3 + 27)


= 2x [(2x)3 + (3)3]


= 2x (2x + 3) [(2x)2 – 2x(3) + 32]


= 2x (2x + 3) (4x2 – 6x + 9)


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