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Factorisation by Common Factors

Simplify: x6...

Question

Simplify:
$x^{6} + 6 x^{3} + 8$ .

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Solution

Now,
$x^{6} + 6 x^{3} + 8$
$=$ $x^{6} + 4 x^{3} + 2 x^{3} + 8$
$=$ $x^{3} (x^{3} + 4) + 2 (x^{3} + 4)$
$= (x^{3} + 4) (x^{3} + 2)$

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