Chapter 8: 544 - Review Exercises (page 1025)

Subtract Rational Expressions with a Common Denominator
In the following exercises, subtract.
$\frac{z^{2}}{z + 10} - \frac{100}{z + 10} .$

Short Answer

Expert verified

The answer is $z - 10$ .

Step by step solution

Step 1. Given Information.

Given:

$\frac{z^{2}}{z + 10} - \frac{100}{z + 10}$ having the same denominator.

Step 2. Solving the given expression.

$A s t h e d e n o m i n a t o r i s s a m e s o w e c a n d i r e c t l y s u b t r a c t t h e n u m e r a t o r s : \frac{z^{2}}{z + 10} - \frac{100}{z + 10} = \frac{z^{2} - 100}{z + 10} = \frac{(z + 10) (z - 10)}{z + 10} = z - 10 .$

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Subtract Rational Expressions with a Common Denominator
In the following exercises, subtract.
$\frac{z^{2}}{z + 10} - \frac{100}{z + 10} .$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solving the given expression.

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Subtract Rational Expressions with a Common DenominatorIn the following exercises, subtract.z2z+10-100z+10.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solving the given expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Calculus

Probability and Statistics

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Subtract Rational Expressions with a Common Denominator
In the following exercises, subtract.
$\frac{z^{2}}{z + 10} - \frac{100}{z + 10} .$