Q1. - Algebra 1

Question

Rewrite each expression using the Distributive Property. Then simplify.

$a\left(a+\mathbf{5}\right)$

Step-by-Step Solution

Answer

$a\left(a+\mathbf{5}\right)=a^2+\mathbf{5}a$

Step 1. Write distributive property.

For any numbers a,b and c, $a\left(b+c\right)=ab+ac$.

Step 2. Apply distributive property.

Apply distributive property to the given expression, $a\left(a+5\right)$.

$a\cdot a+a\cdot 5$

Step 3. Simplify.

Simplify the above obtained expression.

$a^2+5a$

 

Therefore, $a\left(a+5\right)$ can be written using distributive property as $a^2+5a$.