nbsp;We have: nbsp; nbsp; nbsp; 3x5 48x3=3x3x2 16 #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; ...

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Prime Factorisation

Factorise:3 x...

Question

Factorise:
3x⁵ − 48x³

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Solution

We have:
$3 x^{5} - 48 x^{3} = 3 x^{3} (x^{2} - 16) = 3 x^{3} \{{(x)}^{2} - {(4)}^{2}\} = 3 x^{3} (x + 4) (x - 4)$

∴ $3 x^{5} - 48 x^{3} = 3 x^{3} (x + 4) (x - 4)$

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