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:

\[24 x^2 \left( 1 - 2x \right)\]

\[ = 24 x^2 \times 1 - 24 x^2 \times 2x\]

\[ = 24 x^2 - 48 x^{1 + 2} \]

\[ = 24 x^2 - 48 x^3\]

Substituting  x = 3 in the result, we get:

\[24 x^2 - 48 x^3 \]

\[ = 24 \left( 3 \right)^2 - 48 \left( 3 \right)^3 \]

\[ = 24 \times 9 - 48 \times 27\]

\[ = 216 - 1296\]

\[ = - 1080\]

Thus, the product is \[(24 x^2 - 48 x^3 )\text {P and its value for x  = 3 is } ( - 1080)\].