Question

Question #7bd4b

Answer 1

`=2(2-x)(4+2x+x^2)`

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 `" "color(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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`16-2x^3`
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`=color(red)2(8-x^3)`
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`=2(2^3-x^3)`
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`=2color(blue)((2-x)(2^2+2x+x^2))`
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`=2(2-x)(4+2x+x^2)`