Evaluate
\frac{64x^{2}+685x-452}{\left(x-6\right)\left(x+16\right)}
Expand
\frac{64x^{2}+685x-452}{\left(x-6\right)\left(x+16\right)}
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\frac{\left(14x-2\right)\left(x-6\right)}{\left(x-6\right)\left(x+16\right)}-\frac{\left(29-50x\right)\left(x+16\right)}{\left(x-6\right)\left(x+16\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+16 and x-6 is \left(x-6\right)\left(x+16\right). Multiply \frac{14x-2}{x+16} times \frac{x-6}{x-6}. Multiply \frac{29-50x}{x-6} times \frac{x+16}{x+16}.
\frac{\left(14x-2\right)\left(x-6\right)-\left(29-50x\right)\left(x+16\right)}{\left(x-6\right)\left(x+16\right)}
Since \frac{\left(14x-2\right)\left(x-6\right)}{\left(x-6\right)\left(x+16\right)} and \frac{\left(29-50x\right)\left(x+16\right)}{\left(x-6\right)\left(x+16\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{14x^{2}-84x-2x+12-29x-464+50x^{2}+800x}{\left(x-6\right)\left(x+16\right)}
Do the multiplications in \left(14x-2\right)\left(x-6\right)-\left(29-50x\right)\left(x+16\right).
\frac{64x^{2}+685x-452}{\left(x-6\right)\left(x+16\right)}
Combine like terms in 14x^{2}-84x-2x+12-29x-464+50x^{2}+800x.
\frac{64x^{2}+685x-452}{x^{2}+10x-96}
Expand \left(x-6\right)\left(x+16\right).
\frac{\left(14x-2\right)\left(x-6\right)}{\left(x-6\right)\left(x+16\right)}-\frac{\left(29-50x\right)\left(x+16\right)}{\left(x-6\right)\left(x+16\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+16 and x-6 is \left(x-6\right)\left(x+16\right). Multiply \frac{14x-2}{x+16} times \frac{x-6}{x-6}. Multiply \frac{29-50x}{x-6} times \frac{x+16}{x+16}.
\frac{\left(14x-2\right)\left(x-6\right)-\left(29-50x\right)\left(x+16\right)}{\left(x-6\right)\left(x+16\right)}
Since \frac{\left(14x-2\right)\left(x-6\right)}{\left(x-6\right)\left(x+16\right)} and \frac{\left(29-50x\right)\left(x+16\right)}{\left(x-6\right)\left(x+16\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{14x^{2}-84x-2x+12-29x-464+50x^{2}+800x}{\left(x-6\right)\left(x+16\right)}
Do the multiplications in \left(14x-2\right)\left(x-6\right)-\left(29-50x\right)\left(x+16\right).
\frac{64x^{2}+685x-452}{\left(x-6\right)\left(x+16\right)}
Combine like terms in 14x^{2}-84x-2x+12-29x-464+50x^{2}+800x.
\frac{64x^{2}+685x-452}{x^{2}+10x-96}
Expand \left(x-6\right)\left(x+16\right).
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