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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