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Factorize: x^3 + 8y^3 + 6x^2y + 12xy^2

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Factorize:

x3 + 8y3 + 6x2y + 12xy2

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Given,

x3 + 8y3 + 6x2y + 12xy2,

= (x)3+(2y)3 + 6xy (x + 2y)

= (x)3 + (2y)3 + 3× x ×2y (x + 2y)

= (x + 2y)3

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

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