Chapter 1: Q 126. (page 39)

In the following exercises, evaluate each expression.
$4 x^{2} - x y + 3 y^{2}$ when $x = - 3$ and $y = - 2$

Short Answer

Expert verified

The value is 42.

Step by step solution

Step 1. Given Information:

The given expression is $4 x^{2} - x y + 3 y^{2}$ and the values of the variables are $x = - 3$ and $y = - 2$ .

Step 2. Substitute the values:

Substitute $- 3$ for $x$ and $- 2$ for $y$ into the expression $4 x^{2} - x y + 3 y^{2}$ .

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

Step 3. Calculate the exponents:

The values of the exponents are ${(- 3)}^{2} = 9$ and ${(- 2)}^{2} = 4$ . Simplify the exponents in the obtained expression.

$4 \cdot 9 - (- 3) (- 2) + 3 \cdot 4$

Step 4. Multiply:

Perform multiplication from left to right.

$36 - 6 + 12$

Step 5. Perform Subtraction:

Subtract 6 from 36 in the obtained expression.

$30 + 12$

Step 6. Perform Addition:

Add 30 and 12 in the obtained expression.

$30 + 12 = 42$

Step 7. Conclusion:

The value obtained is 42.

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In the following exercises, evaluate each expression.
$4 x^{2} - x y + 3 y^{2}$ when $x = - 3$ and $y = - 2$

Short Answer

Step by step solution

Step 1. Given Information:

Step 2. Substitute the values:

Step 3. Calculate the exponents:

Step 4. Multiply:

Step 5. Perform Subtraction:

Step 6. Perform Addition:

Step 7. Conclusion:

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In the following exercises, evaluate each expression.4x2-xy+3y2whenx=-3andy=-2

Short Answer

Step by step solution

Step 1. Given Information:

Step 2. Substitute the values:

Step 3. Calculate the exponents:

Step 4. Multiply:

Step 5. Perform Subtraction:

Step 6. Perform Addition:

Step 7. Conclusion:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

In the following exercises, evaluate each expression.
$4 x^{2} - x y + 3 y^{2}$ when $x = - 3$ and $y = - 2$