64x3 343=4x3 73 #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; ...

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Factorize:64 ...

Question

Factorize:
64x³ − 343

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Solution

$64 x^{3} - 343 = {(4 x)}^{3} - {(7)}^{3} = (4 x - 7) (16 x^{2} + 4 x \times 7 + 7^{2}) = (4 x - 7) (16 x^{2} + 28 x + 49)$

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64 x^{3} + 72 x^{2} y + 27 x y^{2} + \frac{27}{8} y^{3}

Factorize $64 a^{3} - 343 b^{3}$

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