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\frac{10-a}{a-2}
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\frac{10-a}{a-2}
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\frac{a+4-\left(2a-6\right)}{a-2}
Since \frac{a+4}{a-2} and \frac{2a-6}{a-2} have the same denominator, subtract them by subtracting their numerators.
\frac{a+4-2a+6}{a-2}
Do the multiplications in a+4-\left(2a-6\right).
\frac{-a+10}{a-2}
Combine like terms in a+4-2a+6.
\frac{a+4-\left(2a-6\right)}{a-2}
Since \frac{a+4}{a-2} and \frac{2a-6}{a-2} have the same denominator, subtract them by subtracting their numerators.
\frac{a+4-2a+6}{a-2}
Do the multiplications in a+4-\left(2a-6\right).
\frac{-a+10}{a-2}
Combine like terms in a+4-2a+6.
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