Q23. - Algebra 1

Question

Use the Distributive Property to rewrite the following expression:

 

$-5\left(3m-2\right)$

Step-by-Step Solution

Answer

The expression is: $-5\left(3m-2\right)=-15m+10$.

Step 1. Given information.

The given expression is:

 

$-5\left(3m-2\right)$

Step 2. Write the Property.

The Distributive property is defined as in below:

$a\left(b\pm c\right)=ab\pm ac$

Where a, b and c are real numbers.

Step 3. Rewrite the expression.

The expression $-5\left(3m-2\right)$ can be written as in below:

$\begin{array}{c}-5\left(3m-2\right)=\left(-5\right)\times 3m-\left(-5\right)\times 2\\ =-15m+10\end{array}$