Chapter 9: Q. 10 (page 482)

Simplify the expression $\frac{6}{d^{2} + 4 d + 4} + \frac{5}{d + 2}$ .

Short Answer

Expert verified

The simplified value of expression is $\frac{16 + 5 d}{{(d + 2)}^{2}}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{6}{d^{2} + 4 d + 4} + \frac{5}{d + 2}$ .

Step 2. Simplify the expression.

The given expression $\frac{6}{d^{2} + 4 d + 4} + \frac{5}{d + 2}$ is simplified as:

$\begin{matrix} \frac{6}{d^{2} + 4 d + 4} + \frac{5}{d + 2} = \frac{6}{{(d + 2)}^{2}} + \frac{5}{d + 2} \\ = \frac{6 + 5 (d + 2)}{{(d + 2)}^{2}} \\ = \frac{16 + 5 d}{{(d + 2)}^{2}} \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $\frac{16 + 5 d}{{(d + 2)}^{2}}$ .

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Simplify the expression $\frac{6}{d^{2} + 4 d + 4} + \frac{5}{d + 2}$ .

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

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Simplify the expression6d2+4d+4+5d+2.

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Simplify the expression $\frac{6}{d^{2} + 4 d + 4} + \frac{5}{d + 2}$ .