$(2 x - 5) (4 x^{2} + 10 x + 25)$ is equal to

{(2 x - 5)}^{3}

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8 x^{3} + 125

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{(2 x + 5)}^{3}

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8 x^{3} - 125

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Solution

The correct option is D $8 x^{3} - 125$
Formula used:
$(a - b) (a^{2} + a b + b^{2}) = a^{3} + b^{3}$
$(2 x - 5) (4 x^{2} + 10 x + 25) = (2 x - 5) [(2 x)^{2} + (2 x) (5) + (5)^{2}]$
$= (2 x)^{3} - (5)^{3}$
$= 8 x^{3} - 125$
Option D is correct.

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Similar questions

\frac{8 x^{3} - 125}{4 x^{2} + 10 x + 25}

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8 x^{3} + \frac{1}{8 x^{3}} + \frac{3}{2 x} + 6 x

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2 x + \frac{1}{2 x} = 21

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