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

Question

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

✓

Answer

To find the product, we will use distributive law as follows: $24 x^2(1-2 x)$
$=24 x^2 \times 1-24 x^2 \times 2 x$
$=24 x^2-48 x^{1+2}$
$=24 x^2-48 x^3$
Substituting $x=3$ in the result, we get:
$24 x^2-48 x^3$
$=24(3)^2-48(3)^3$
$=24 \times 9-48 \times 27$
$=216-1296$
$=-1080$
Thus, the product is $\left(24 x^2-48 x^3\right)$ and its value for $x=3$ is -1080 .

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