Q47. - Algebra 1

Question

Rewrite each expression using the distributive property. Then simplify.

$\left(9y-6\right)\left(-3\right)$

Step-by-Step Solution

Answer

The simplified expression is $-27y+18$.

Step 1. Distributive property.

If $a,b$ and $c$ are three real numbers then  $a·\left(b+c\right)=a·c+b·c$ and $\left(b+c\right)·a=b·a+c·a$

Step 2. Application of distribution property.

Apply the distributive property to get

$$\begin{gathered} \left(9y-6\right)\left(-3\right)=\left(9y+\left(-6\right)\right)\left(-3\right) \\ =9y\left(-3\right)+\left(-6\right)\left(-3\right) \left[\mathrm{By} \mathrm{Distributive} \mathrm{property}\right] \end{gathered}$$

Step 3. Simplifying the expression.

Simplify further by multiplying the numbers to get

$9y\left(-3\right)+\left(-6\right)\left(-3\right)=-27y+18$