Q68. - Algebra 2

Question

Simplify each expression.

$3^2\left(2^2-1^2\right)+4^2$

Step-by-Step Solution

Answer

The value of the given expression $3^2\left(2^2-1^2\right)+4^2$ is 43.

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:

$3^2\left(2^2-1^2\right)+4^2$

Step 3 – Calculate the value by simplification.

$\begin{array}{l}{3}^2\left(2^2-1^2\right)+4^2=9\left(4-1\right)+16\\ =9\left(3\right)+16\\ =27+16\\ =43\end{array}$

Thus, the value of the given expression $3^2\left(2^2-1^2\right)+4^2$ is 43.