Evaluate for x= 2 and y= 3. y^2 - 2xy^2 - x

Question:

Evaluate for x= 2 and y= 3.

{eq}y^2 - 2xy^2 - x {/eq}

Algebraic Expressions:

An algebraic expression is an expression that is made up of one or more variables, constants, and operations such as division, multiplication, addition, and subtraction. Unlike in an algebraic equation, an algebraic expression does not have an equal sign.

Answer and Explanation:


Given the values of the unknown variables in an algebraic expression, we can evaluate the value of the expression by substituting the values of the variable in the expression.

We are given the expression:

  • {eq}y^2 - 2xy^2 - x {/eq}

Given that {eq}x = 2{/eq} and {eq}y = 3{/eq}, we can evaluate the given expression to:

  • {eq}y^2 - 2xy^2 - x = 3^2 - 2(2)(3^2) - 2 {/eq}
  • {eq}y^2 - 2xy^2 - x = 9 - 36 - 2 {/eq}
  • {eq}\color{blue}{\boxed{y^2 - 2xy^2 - x = -29}}{/eq}

Learn more about this topic:

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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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