Q44. - Algebra 2

Question

Simplify each expression.

44. .

$4\left(6a+5b\right)-2\left(3a+2b\right)$

Step-by-Step Solution

Answer

The value of the expression is $18a+16b.$

Step-1 –Concept of addition and subtraction of variables

Whether we add or subtract variables, we follow the same rule, even though they have different operation, when adding or subtracting term that have exactly the same variable. We either add or subtract the co-efficient and let the result stand with variable.

Step-2 –Example of addition and subtraction of variable

The examples that follow involve two or more variables.

$\begin{array}{l}a+3a+x+2x\\ =4a+3x.\end{array}$

Step-2 –Evaluate the expression

To evaluate the expression we applying the concept of addition and subtraction of variables.

$\begin{array}{l}4(6a+5b)-2(3a+2b)\\ =24a+20b-6a-4b\\ =18a+16b.\end{array}$