Question

Find the product $24x^2(1-2x)$ and evaluate if for $x=2$

• A. $288$
• B. $384$
• C. $-288$
• D. $-384$

Answer 1

Answer: (C)

$-288$

Let us multiply the given monomial and binomial as shown below:

$24x^2(1-2x)=(24x^2\times 1)-(24x^2\times 2x)=24x^2-48x^3$

Now, let us substitute $x=2$ in $24x^2-48x^3$ as follows:

$24{\left(2\right)}^2-48{\left(2\right)}^3=(24\times 4)-(48\times 8)=96-384=-288$

Hence, $24x^2(1-2x)=-288$ for $x=2$.