Chapter 8: 547 - Review Exercises (page 1026)

Add and Subtract Rational Expressions whose Denominators are Opposites
In the following exercises, add and subtract.
$\frac{18 w}{6 w - 1} + \frac{3 w - 2}{1 - 6 w} .$

Short Answer

Expert verified

The answer is $\frac{15 w + 2}{6 w - 1}$ .

Step by step solution

Step 1. Given Information.

Given:

$\frac{18 w}{6 w - 1} + \frac{3 w - 2}{1 - 6 w}$ have the same denominator just with opposite sign.

Step 2. Creating the denominator exactly same.

Now take a minus sign out of denominator of second term in the above expression we get:

$\frac{18 w}{6 w - 1} - \frac{3 w - 2}{6 w - 1}$ .

Now we can clearly see that the denominators are same.

Step 3. Solving the expression in step 2.

Now as the denominators are same so we can directly subtract the numerators:

$\frac{18 w}{6 w - 1} - \frac{3 w - 2}{6 w - 1} = \frac{18 q - 3 w + 2}{6 w - 1} = \frac{15 w + 2}{6 w - 1} .$

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Add and Subtract Rational Expressions whose Denominators are Opposites
In the following exercises, add and subtract.
$\frac{18 w}{6 w - 1} + \frac{3 w - 2}{1 - 6 w} .$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Creating the denominator exactly same.

Step 3. Solving the expression in step 2.

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Add and Subtract Rational Expressions whose Denominators are OppositesIn the following exercises, add and subtract.18w6w-1+3w-21-6w.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Creating the denominator exactly same.

Step 3. Solving the expression in step 2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Statistics

Theoretical and Mathematical Physics

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Add and Subtract Rational Expressions whose Denominators are Opposites
In the following exercises, add and subtract.
$\frac{18 w}{6 w - 1} + \frac{3 w - 2}{1 - 6 w} .$