Short Answer

Subtract Rational Expressions with a Common Denominator
In the following exercises, subtract.
$\frac{d^{2}}{d + 4} - \frac{3 d + 28}{d + 4} .$

The answer is $(d - 7) .$

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Step by Step Solution

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TABLE OF CONTENTS

Step 1. Given Information.

Given:

$\frac{d^{2}}{d + 4} - \frac{3 d + 28}{d + 4}$ having the same denominator.

Step 2. Solving the expression given.

$A s t h e d e n o m i n a t o r i s s a m e s o w e c a n d i r e c t l y s u b t r a c t t h e n u m e r a t o r s : \frac{d^{2}}{d + 4} - \frac{3 d + 28}{d + 4} = \frac{d^{2} - (3 d + 28)}{d + 4} = \frac{d^{2} - 3 d - 28}{d + 4} = \frac{(d + 4) (d - 7)}{d + 4} = d - 7 .$

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Elementary Algebra

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Short Answer

Subtract Rational Expressions with a Common Denominator
In the following exercises, subtract.
$\frac{d^{2}}{d + 4} - \frac{3 d + 28}{d + 4} .$

Step by Step Solution

Step 1. Given Information.

Step 2. Solving the expression given.

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Elementary Algebra

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Short Answer

Subtract Rational Expressions with a Common DenominatorIn the following exercises, subtract.d2d+4-3d+28d+4.

Step by Step Solution

Step 1. Given Information.

Step 2. Solving the expression given.

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Subtract Rational Expressions with a Common Denominator
In the following exercises, subtract.
$\frac{d^{2}}{d + 4} - \frac{3 d + 28}{d + 4} .$