Chapter 8: Q 86. (page 930)

In the following exercises, multiply.
$\frac{2 y^{2} - 10 y}{y^{2} + 10 y + 25} \cdot \frac{y + 5}{6 y}$

Short Answer

Expert verified

The required answer is $\frac{y - 5}{3 (y + 5)}$ .

Step by step solution

Step 1. Given information.

The given expression is:

$\frac{2 y^{2} - 10 y}{y^{2} + 10 y + 25} \cdot \frac{y + 5}{6 y}$

Step 2. Simplify the expression.

$\frac{2 y^{2} - 10 y}{y^{2} + 10 y + 25} \cdot \frac{y + 5}{6 y}$

Factor the numerator and denominator completely,

$\frac{2 y (y - 5)}{(y + 5) (y + 5)} \cdot \frac{y + 5}{6 y}$

Multiply the numerators and denominators,

$\frac{2 y (y - 5) (y + 5)}{2 y \cdot 3 (y + 5) (y + 5)}$

Simplify by dividing out common factors,

$\frac{y - 5}{3 (y + 5)}$

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In the following exercises, multiply.
$\frac{2 y^{2} - 10 y}{y^{2} + 10 y + 25} \cdot \frac{y + 5}{6 y}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

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In the following exercises, multiply.2y2-10yy2+10y+25·y+56y

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

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Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

In the following exercises, multiply.
$\frac{2 y^{2} - 10 y}{y^{2} + 10 y + 25} \cdot \frac{y + 5}{6 y}$