# Question 7bd4b

Dec 1, 2016

$= 2 \left(2 - x\right) \left(4 + 2 x + {x}^{2}\right)$

#### Explanation:

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Factorization is determined by taking common factor and applying
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polynomial identities .
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How to factorize the given expression?
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First : Take the common factor $\text{ } \textcolor{red}{2}$.
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Second : Apply the polynomial identity
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" "color(blue)(a^3-b^3=(a-b)(a^2+ab+b^2)#
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Let's follow the steps mentioned above and factorize.
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$16 - 2 {x}^{3}$
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$= \textcolor{red}{2} \left(8 - {x}^{3}\right)$
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$= 2 \left({2}^{3} - {x}^{3}\right)$
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$= 2 \textcolor{b l u e}{\left(2 - x\right) \left({2}^{2} + 2 x + {x}^{2}\right)}$
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$= 2 \left(2 - x\right) \left(4 + 2 x + {x}^{2}\right)$