Find the product $24x^2 (1 - 2x)$ and evaluate its value for $x = 3$.

Given:

$24x^2 (1 - 2x)$

To do:

We have to find the product $24x^2 (1 - 2x)$ and evaluate its value for $x = 3$.

Solution:

$24x^2 (1 - 2x)= 24x^2 \times 1 + 24x^2 \times (-2x)$

$= 24x^2 + (-48x^{2+1})$

$= 24x^2 - 48x^3$

If $x = 3$, then

$24x^2 - 48x^3= 24(3)^2 - 48 (3)^3$

$= 24(9)-48(27)$

$= 216- 1296$

$= -1080$

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Updated on: 10-Oct-2022

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