Question

Find the product 24x² (1 − 2x) and evaluate its value for x = 3.

Answer 1

To find the product, we will use distributive law as follows:

$$\begin{gathered} 24x^2\left(1-2x\right) \\ =24x^2\times 1-24x^2\times 2x \\ =24x^2-48x^{1+2} \\ =24x^2-48x^3 \end{gathered}$$

Substituting x = 3 in the result, we get:

$$\begin{gathered} 24x^2-48x^3 \\ =24{\left(3\right)}^2-48{\left(3\right)}^3 \\ =24\times 9-48\times 27 \\ =216-1296 \\ =-1080 \end{gathered}$$

Thus, the product is $(24x^2-48x^3)\mathrm{and}\mathrm{its}\mathrm{value}\mathrm{fo}rx=3\mathrm{is}(-1080)$.