Chapter 8: Q 228 (page 954)

Subtract $\frac{8 y - 4}{5 y + 2} - 6$ .

Short Answer

Expert verified

The result is $\frac{- 2 (11 y + 8)}{5 y + 2}$ .

Step by step solution

Given Information.

The Given expression is $\frac{8 y - 4}{5 y + 2} - 6$ .

Find the LCD of denominators.

Since there is no denominator in second fraction.

The LCD is $(5 y + 2)$ .

Rewrite each fraction as an equivalent fraction with the LCD.

$= \frac{8 y - 4}{5 y + 2} - \frac{6 (5 y + 2)}{5 y + 2}$

Simplify numerator.

$= \frac{8 y - 4}{5 y + 2} - \frac{30 y + 12}{5 y + 2}$

Subtract and simplify the numerator.

Take common denominator.

$= \frac{8 y - 4 - (30 y + 12)}{5 y + 2}$

$= \frac{8 y - 4 - 30 y - 12}{5 y + 2}$

Simplify.

$= \frac{- 22 y - 16}{5 y + 2}$

$= \frac{- 2 (11 y + 8)}{5 y + 2}$

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Subtract $\frac{8 y - 4}{5 y + 2} - 6$ .

Short Answer

Step by step solution

Given Information.

Find the LCD of denominators.

Rewrite each fraction as an equivalent fraction with the LCD.

Subtract and simplify the numerator.

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Subtract8y-45y+2-6.

Short Answer

Step by step solution

Given Information.

Find the LCD of denominators.

Rewrite each fraction as an equivalent fraction with the LCD.

Subtract and simplify the numerator.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Subtract $\frac{8 y - 4}{5 y + 2} - 6$ .