Q11. - Algebra 1

Question

Rewrite each expression using the distributive property. Then simplify.

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

Step-by-Step Solution

Answer

The simplified expression is $-15p+6$.

Step 1. Distributive property.

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

Step 2. Application of distributive property.

$\left(5p-2\right)\left(-3\right)=5p\cdot \left(-3\right)-2\cdot \left(-3\right)\left[\text{By Distribution property}\right]$

Step 3. Simplifying the expression.

Now, to simplify further, multiply the numbers to get

$5p\cdot \left(-3\right)-2\cdot \left(-3\right)=-15p+6$