Q69. - Algebra 2

Question

Simplify each expression. 

$3\left(5a+6b\right)+8\left(2a-b\right)$

Step-by-Step Solution

Answer

The value of the given expression $3\left(5a+6b\right)+8\left(2a-b\right)$ is $31a+10b$.

Step 1 – Order of operations.

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2 – Given information.

The given expression is:

$3\left(5a+6b\right)+8\left(2a-b\right)$

Step 3 – Calculate the value by simplification.

$\begin{array}{l}3\left(5a+6b\right)+8\left(2a-b\right)=3\left(5a\right)+3\left(6b\right)+8\left(2a\right)+8\left(-b\right)\\ =15a+18b+16a-8b\\ =\left(15a+16a\right)+\left(18b-8b\right)\\ =31a+10b\end{array}$

Thus, the value of the given expression $3\left(5a+6b\right)+8\left(2a-b\right)$ is $31a+10b$.