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Factorisation by Regrouping Terms

Factorize by ...

Question

Factorize by grouping: $a^{4} - 2 a^{3} - 4 a + 8$

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Solution

$a^{4} - 2 a^{3} - 4 a + 8$
$= (a^{4} - 2 a^{3}) - (4 a - 8)$
$= a^{3} (a - 2) - 4 (a - 2)$
$= (a^{3} - 4) (a - 2)$

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Factorize by the grouping method:

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Factorisation by Regrouping Terms

Standard VIII Mathematics

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