Problem 41 Add or subtract as indicated. ... [FREE SOLUTION]

Chapter 0: Problem 41

Add or subtract as indicated. $$\frac{3}{x+4}+\frac{6}{x+5}$$

Short Answer

Expert verified

The sum of the two fractions $\frac{3}{x+4}$ and $\frac{6}{x+5}$ is $\frac{9x+39}{x^2+9x+20}$

Step by step solution

Find Common Denominator

The common denominator for the fractions $\frac{3}{x+4}$ and $\frac{6}{x+5}$ is the product of '(x+4)' and '(x+5)', which is '(x + 4)(x + 5)'.

Rewrite Fractions

We rewrite each fraction with the common denominator identified in step 1. So, $\frac{3}{x+4}$ becomes $\frac{3(x+5)}{(x+4)(x+5)}$ and $\frac{6}{x+5}$ becomes $\frac{6(x+4)}{(x+4)(x+5)}$.

Perform the Addition

We now add the two fractions: \[\frac{3(x+5)}{(x+4)(x+5)} + \frac{6(x+4)}{(x+4)(x+5)}\] After simplifying the expression above, we get \[\frac{3x+15+6x+24}{(x+4)(x+5)} = \frac{9x+39}{x^2+9x+20}\]

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91影视

Add or subtract as indicated. $$\frac{3}{x+4}+\frac{6}{x+5}$$

Short Answer

Step by step solution

Find Common Denominator

Rewrite Fractions

Perform the Addition

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