Factorize: x^3 + 8y^3 +6x^2y +12xy^2
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rajat4052:
Good answer Dimpl
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Here is your answer
we know that
(a+b)^3= a^3 + b^3 + 3ab(a+b)
here,
x^3 + 8y^3 + 6x^2y + 12xy^2
=(x)^3 + (2y)^3 + 3×x^2×2y + 3×x×(2y)^2
=(x)^3 + (2y)^3 + 3×x×2y(x+2y)
=(x+2y)^3
Hope it is useful
we know that
(a+b)^3= a^3 + b^3 + 3ab(a+b)
here,
x^3 + 8y^3 + 6x^2y + 12xy^2
=(x)^3 + (2y)^3 + 3×x^2×2y + 3×x×(2y)^2
=(x)^3 + (2y)^3 + 3×x×2y(x+2y)
=(x+2y)^3
Hope it is useful
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