Chapter 12: Q40. (page 637)

Simplify each expression.
$- \frac{x^{2} - y^{2}}{x + y} \cdot \frac{1}{x - y}$

Short Answer

Expert verified

The simplified value of expression is $- \frac{x^{2} - y^{2}}{x + y} \cdot \frac{1}{x - y} = - 1$ .

Step by step solution

Step 1. Given Information.

The given expression to simplify is $- \frac{x^{2} - y^{2}}{x + y} \cdot \frac{1}{x - y}$ .

Step 2. Calculation.

Simplifying the expression:

$\begin{array}{l} - \frac{x^{2} - y^{2}}{x + y} \cdot \frac{1}{x - y} = - \frac{x^{2} - y^{2}}{(x + y) (x - y)} \\ - \frac{x^{2} - y^{2}}{x + y} \cdot \frac{1}{x - y} = - \frac{(x + y) (x - y)}{(x + y) (x - y)} (Factoringthenumerator) \\ - \frac{x^{2} - y^{2}}{x + y} \cdot \frac{1}{x - y} = - 1 \end{array}$

Step 3. Conclusion.

The simplified value of expression is $- \frac{x^{2} - y^{2}}{x + y} \cdot \frac{1}{x - y} = - 1$ .

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Simplify each expression.
$- \frac{x^{2} - y^{2}}{x + y} \cdot \frac{1}{x - y}$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Simplify each expression.-x2-y2x+y·1x-y

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Most popular questions from this chapter

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Simplify each expression.
$- \frac{x^{2} - y^{2}}{x + y} \cdot \frac{1}{x - y}$