We have: nbsp; nbsp; nbsp; nbsp;x3 64x=xx2 64 #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160 ...

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Prime Factorisation

Factorise:x3-...

Question

Factorise:
x³ − 64x

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Solution

We have:
$x^{3} - 64 x = x (x^{2} - 64) = x \{{(x)}^{2} - {(8)}^{2}\} = x (x + 8) (x - 8)$

∴ $x^{3} - 64 x = x (x + 8) (x - 8)$

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