Q80. - Algebra 2

Question

Simplify each expression.

$4\left(2a+5b\right)-3\left(4b-a\right)$

Step-by-Step Solution

Answer

The required answer is $11a+8b$.

Step 1- Observe the provided expression

The provided expression contain some terms which are having the same variable but to combine them the simplification of the terms is required. 

Step 2 – Simplify the terms

Use distributive property $a\left(b+c\right)=ab+ac$ for the expression.

$8a+20b-12b+3a$

Step 3 – Combine the like terms

Perform combination of terms that are having the same variables.

$11a+8b$

Step 4- Make the conclusion

As nothing can be done further with the expression so obtained expression is the required expression.