Q25. - Algebra 1

Question

Use the Distributive Property to rewrite the following expression:

$\left(8-3p\right)\left(-2\right)$

F. $16-16p$

G. $-10p$

H. $-16+6p$

J. $10p$

Step-by-Step Solution

Answer

The expression is: $\left(8-3p\right)\left(-2\right)=-16+6p$. So, the correct option is (H).

Step 1. Given information.

The given expression is:

$\left(8-3p\right)\left(-2\right)$

Step 2. Write the Property.

The Distributive property is defined as in below:

$\left(b\pm c\right)a=ba\pm ca$

Where a, b and c are real numbers.

Step 3. Rewrite the expression.

The expression  can be written as in below:

$\left(8-3p\right)\left(-2\right)$

$$\begin{gathered} \left(8-3p\right)\left(-2\right)=8\times \left(-2\right)-3p\times \left(-2\right) \\ =-16+6p \end{gathered}$$