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

– 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.

– Given information.

The given expression is:

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

– Calculate the value by simplification.

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

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

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

Short Answer

Step by step solution

– Order of operations.

– Given information.

– Calculate the value by simplification.

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Simplify each expression.3222-12+42

Short Answer

Step by step solution

– Order of operations.

– Given information.

– Calculate the value by simplification.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

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