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Factorize: 8x^3 + 27y^3 + 36x^2y + 54xy^2

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Factorize:

8x3 + 27y3 + 36x2y + 54xy2

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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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