Q41. Simplify each expression.聽聽x2x... [FREE SOLUTION]

Chapter 12: Q41. (page 637)

Simplify each expression.
$\frac{\frac{x^{2}}{x^{2} 鈭� 25 y^{2}}}{\frac{x}{5 y 鈭� x}}$

Short Answer

Expert verified

The simplified value of expression is $\frac{\frac{x^{2}}{x^{2} 鈭� 25 y^{2}}}{\frac{x}{5 y 鈭� x}} = 鈭� \frac{x}{x + 5 y}$ .

Step by step solution

Step 1. Given Information.

The given expression to simplify is $\frac{\frac{x^{2}}{x^{2} 鈭� 25 y^{2}}}{\frac{x}{5 y 鈭� x}}$ .

Step 2. Calculation.

Simplifying the expression:

$\begin{array}{l} \frac{\frac{x^{2}}{x^{2} 鈭� 25 y^{2}}}{\frac{x}{5 y 鈭� x}} = \frac{x^{2}}{x^{2} 鈭� 25 y^{2}} 鈰� \frac{5 y 鈭� x}{x} 鈥勨赌勨赌勨赌勨赌勨赌� (Writingthedenominatorasaproductofreciprocal) \\ \frac{\frac{x^{2}}{x^{2} 鈭� 25 y^{2}}}{\frac{x}{5 y 鈭� x}} = \frac{x^{2} (5 y 鈭� x)}{(x^{2} 鈭� 25 y^{2}) x} \\ \frac{\frac{x^{2}}{x^{2} 鈭� 25 y^{2}}}{\frac{x}{5 y 鈭� x}} = \frac{x 鈰� x 鈰� 鈭� (x 鈭� 5 y)}{(x 鈭� 5 y) (x + 5 y) x} 鈥勨赌勨赌勨赌勨赌勨赌� (Factoringthenumeratoranddenominator) \\ \frac{\frac{x^{2}}{x^{2} 鈭� 25 y^{2}}}{\frac{x}{5 y 鈭� x}} = 鈭� \frac{x}{x + 5 y} 鈥勨赌勨赌勨赌勨赌勨赌勨€勨€勨€� (Cancellingoutthecommontermsfromnumeratoranddenominator) \end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{\frac{x^{2}}{x^{2} 鈭� 25 y^{2}}}{\frac{x}{5 y 鈭� x}} = 鈭� \frac{x}{x + 5 y}$ .

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Simplify each expression.
$\frac{\frac{x^{2}}{x^{2} 鈭� 25 y^{2}}}{\frac{x}{5 y 鈭� x}}$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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91影视

Simplify each expression.x2x2鈭�25y2x5y鈭�x

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Mechanics Maths

Logic and Functions

Discrete Mathematics

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Simplify each expression.
$\frac{\frac{x^{2}}{x^{2} 鈭� 25 y^{2}}}{\frac{x}{5 y 鈭� x}}$