Factorize:

8x3+27y3+36x2y+54xy2

Given,


8x3+27y3+36x2y+54xy2,


= (2x)3+(3y)3 +18xy (2x +3y)


= (2x)3+(3y)3 +3×2x×3y (2x +3y)


= (2x+3y)3


= (2x +3y) (2x +3y) (2x +3y)


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