Chapter 1: Q 122. (page 39)

In the following exercises, evaluate each expression.
${(y + z)}^{2}$ when $y = - 3$ and $z = 15$

Short Answer

Expert verified

The value is 144.

Step by step solution

Step 1. Given Information:

The given expression is ${(y + z)}^{2}$ and the value of the variables are $y = - 3$ and $z = 15$ .

Step 2. Substitute the values:

Substitute $- 3$ for $y$ and 15 for $z$ into the given expression, ${(y + z)}^{2}$ .

${((- 3) + 15)}^{2}$

Step 3. Perform Addition.

Add $- 3$ and 15 inside the parentheses.

role="math" localid="1644671739723" ${((- 3) + 15)}^{2} = {(12)}^{2}$

Step 4. Calculate the exponent.

Calculate the exponent using the definition of exponential notation, $a^{n} = \underset{n f a c t o r s}{\underset{⏟}{a \cdot a \cdot \dots \cdot a}}$ .

$\begin{array}{rcl} {(12)}^{2} & = & (12) (12) \\ = & 144 \end{array}$

Step 5. Conclusion:

The value obtained is 144.

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In the following exercises, evaluate each expression.
${(y + z)}^{2}$ when $y = - 3$ and $z = 15$

Short Answer

Step by step solution

Step 1. Given Information:

Step 2. Substitute the values:

Step 3. Perform Addition.

Step 4. Calculate the exponent.

Step 5. Conclusion:

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In the following exercises, evaluate each expression. y+z2when y=-3 andz=15

Short Answer

Step by step solution

Step 1. Given Information:

Step 2. Substitute the values:

Step 3. Perform Addition.

Step 4. Calculate the exponent.

Step 5. Conclusion:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Decision Maths

Applied Mathematics

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Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, evaluate each expression.
${(y + z)}^{2}$ when $y = - 3$ and $z = 15$