Chapter 8: Chapter 8

Problem 134

Evaluate the expression $3 \mathrm{x}^{2} \mathrm{y}-2 \mathrm{xy}^{2} z+\mathrm{xyz}$ when $\mathrm{X}=2$ $\mathrm{Y}=-1$, and $\mathrm{z}=3$

Short Answer

Expert verified

After substituting the values x = 2, y = -1, and z = 3 into the expression $3x^2y - 2xy^2z + xyz$, and simplifying, we get the final answer of $-30$.

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Step by step solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Write the given expression

The expression given is: $3x^2y - 2xy^2z + xyz$

Step 2: Substitute the values of x, y, and z

We are given the following values for x, y, and z: - x = 2 - y = -1 - z = 3 Substitute these values into the expression: $3(2)^2(-1) - 2(2)(-1)^2(3) + (2)(-1)(3)$

Step 3: Simplify the expression

Evaluate the expression step by step: 1. Evaluate exponents: $3(4)(-1) - 2(2)(1)(3) + (2)(-1)(3)$ 2. Perform multiplication: $-12 - 12 - 6$ 3. Perform addition and subtraction: $-12 - 12 - 6 = -30$

Step 4: Write the final answer

After evaluating the expression with the given values of x, y, and z, our final answer is -30.

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Chapter 8: Chapter 8

Evaluate the expression $3 \mathrm{x}^{2} \mathrm{y}-2 \mathrm{xy}^{2} z+\mathrm{xyz}\( when \)\mathrm{X}=2$ \(\mathrm{Y}=-1\), and \(\mathrm{z}=3\)

Short Answer

Step by step solution

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Step 1: Write the given expression

Step 2: Substitute the values of x, y, and z

Step 3: Simplify the expression

Step 4: Write the final answer

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Chapter 6

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Chapter 27

Chapter 28

Chapter 29

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