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Chapter 2: Q68. (page 62)

Simplify each expression.
$3^{2} (2^{2} - 1^{2}) + 4^{2}$

Short Answer

Expert verified

The value of the given expression $3^{2} (2^{2} - 1^{2}) + 4^{2}$ is 43.

Step by step solution

01

– 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.

02

– Given information.

The given expression is:

$3^{2} (2^{2} - 1^{2}) + 4^{2}$

03

– Calculate the value by simplification.

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

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

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Most popular questions from this chapter

Name the $x$ -and $y$ -intercepts of the graph shown at the right.

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