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Find the value of the expression p^2q^2 + pq - q^3 - p^3 for p = 0.5 and q = -0.5.

Question:

Find the value of the expression {eq}\; p^2q^2 + pq - q^3 - p^3 \; {/eq} for {eq}\; p = 0.5 \; {/eq} and {eq}\; q = -0.5 {/eq}.

Evaluating Expressions

Any expression can be evaluated for specific values of its variables. This is done by substituting the variables with their values in the expression and then calculating the value of the expression.

Answer and Explanation:


We have to evaluate the given expression for p=0.5 and q=-0.5. We can do this by substituting p and q in the expression with their respective values.


$$\begin{align} & p^2q^2 + pq - q^3 - p^3 \\ \Rightarrow &0.5^2*(-0.5)^2 + 0.5*(-0.5) - (-0.5)^3 - 0.5^3 \\=&0.25*0.25-0.25-(-0.125)-0.125\\ =&0.0625-0.25+0.125-0.125\\ =&-0.1875 \end{align} $$


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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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