x cube-8y cube
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Step-by-step explanation:
x^3 - 8y^3
= x^3 - (2y)^3
formula - (a^3 – b^3) = (a – b)(a^2 + b^2 + ab)
here a = x and b = 2y
therefore,
(x^3 – (2y)^3) = (x – 2y ) (x^2 + (2y)^2 + 2xy)
= (x – 2y ) (x^2 + 4y^2 + 2xy)
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(x-2y) (x^2+2xy+4y^2)
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