Q71. - Algebra 2

Question

Simplify each expression.

$\mathbf{6}\mathbf{a}\mathbf{-}\mathbf{2}\mathbf{b}\mathbf{-}\mathbf{3}\mathbf{a}\mathbf{+}\mathbf{9}\mathbf{b}$

Step-by-Step Solution

Answer

The answer is $\mathbf{3}\mathbf{a}\mathbf{+}\mathbf{7}\mathbf{b}$.

 

Step 1 – Commutative property of addition.

Apply the commutative property of addition to the given expression.

 

$6a-3a-2b+9b$

 

Step 2 – Distributive property.

Apply the distributive property to the obtained expression in step 1.

 

$\left(6-3\right)a+\left(-2+9\right)b$

Step 3 – Description of step.

Simplify the expression obtained in the step 2.

 

$3a+7b$

 

Therefore, the answer is $3a+7b$.