8x3+27y3=2x3+3y3 #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; ...

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Factorize:8 x...

Question

Factorize:
8x³ + 27y³

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Solution

$8 x^{3} + 27 y^{3} = {(2 x)}^{3} + {(3 y)}^{3} = (2 x + 3 y) [{(2 x)}^{2} - 2 x \times 3 y + {(3 y)}^{2}] = (2 x + 3 y) (4 x^{2} - 6 x y + 9 y^{2})$

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