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gayaneshka [121]
3 years ago
9

Simplify

title=" \frac{4}{x-6} + \frac{3}{x+5} " alt=" \frac{4}{x-6} + \frac{3}{x+5} " align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
7 0
Combine the fractions by finding a common denominator.<span><span><span><span>     7x</span>+2
</span><span><span>--------------
(<span>x+5</span>)</span><span>(<span>x<span>−6</span></span>)</span></span></span></span>
Angelina_Jolie [31]3 years ago
5 0
\frac{4}{x - 6} + \frac{3}{x + 5} = \frac{4(x + 5)}{(x - 6)(x + 5)} + \frac{3(x - 6)}{(x - 6)(x + 5)} = \frac{4x + 20}{(x - 6)(x + 5)} = \frac{3x - 18}{(x - 6)(x + 5)} = \frac{4x + 20 + 3x - 18}{(x - 6)(x + 5)} = \frac{4x + 3x + 20 - 18}{(x - 6)(x + 5)} = \frac{7x + 2}{(x - 6)(x + 5)}
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