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Addition and Subtraction of Algebraic Expression

Factorize 8...

Question

Factorize $8 a^{3}$ $- b^{3}$ $- 12 a^{3} b$ + $6 a b^{2}$

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Solution

$= 8 a^{3} - b^{3} - 12 a^{2} b + 6 a b^{2}$
$= {(2 a)}^{3} - b^{3} - 3 \times (2 a) (2 a) b + 3 \times 2 \times a \times {(- b)}^{2}$
$= {(2 a - b)}^{3}$

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Factorise: $8 a^{3} - b^{3} - 12 a^{2} b + 6 a b^{2}$

8 a^{3} - b^{3} - 12 a^{2} b + 6 a b^{2}

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