Chapter 1: Q. 15 (page 56)

Evaluate the expression when $r = 4 and s = 6$ .
${(r + 1)}^{2} - s$

Short Answer

Expert verified

The value of the expression is19.

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.

. Evaluate the expression inside parenthesis

To evaluate the expression ${(r + 1)}^{2} - s$ , substitute 4 for r and 6 for s in the expression and then simplify further by evaluating the expression in parenthesis as shown below,

$\begin{matrix} {(r + 1)}^{2} - s = {(4 + 1)}^{2} - 6 \\ = {(5)}^{2} - 6 \\ = 25 - 6 \end{matrix}$

. Subtract the numbers

Now to simplify further, add the numbers to get

$\begin{matrix} {(r + 1)}^{2} - s = 25 - 6 \\ = 19 \end{matrix}$

Thus, the value of the expression is 19.

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Evaluate the expression when $r = 4 and s = 6$ .
${(r + 1)}^{2} - s$

Short Answer

Step by step solution

. Order of operations

. Evaluate the expression inside parenthesis

. Subtract the numbers

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Evaluate the expression whenr=4 and s=6.(r+1)2−s

Short Answer

Step by step solution

. Order of operations

. Evaluate the expression inside parenthesis

. Subtract the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Study anywhere. Anytime. Across all devices.

Evaluate the expression when $r = 4 and s = 6$ .
${(r + 1)}^{2} - s$