Q45. - Algebra 1

Question

Rewrite each expression using the distributive property. Then simplify.

$6\left(d-3\right)$

Step-by-Step Solution

Answer

The simplified expression is $6d-18$.

Step 1. Distributive property.

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

Step 2. Application of distribution property.

Apply the distributive property to get

$$\begin{gathered} 6\left(d-3\right)=6\left(d+\left(-3\right)\right) \\ =6·d+6·\left(-3\right) \left[\mathrm{By} \mathrm{Distribution} \mathrm{property}\right] \end{gathered}$$

Step 3. Simplifying the expression.

Simplify further by multiplying the numbers to get

$6·d+6·\left(-3\right)=6d-18$