Evaluate
\frac{a-9}{7\left(a-7\right)}
Expand
\frac{a-9}{7\left(a-7\right)}
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\frac{\left(a+6\right)\left(a-9\right)}{\left(a-7\right)\left(7a+42\right)}
Divide \frac{a+6}{a-7} by \frac{7a+42}{a-9} by multiplying \frac{a+6}{a-7} by the reciprocal of \frac{7a+42}{a-9}.
\frac{\left(a-9\right)\left(a+6\right)}{7\left(a-7\right)\left(a+6\right)}
Factor the expressions that are not already factored.
\frac{a-9}{7\left(a-7\right)}
Cancel out a+6 in both numerator and denominator.
\frac{a-9}{7a-49}
Expand the expression.
\frac{\left(a+6\right)\left(a-9\right)}{\left(a-7\right)\left(7a+42\right)}
Divide \frac{a+6}{a-7} by \frac{7a+42}{a-9} by multiplying \frac{a+6}{a-7} by the reciprocal of \frac{7a+42}{a-9}.
\frac{\left(a-9\right)\left(a+6\right)}{7\left(a-7\right)\left(a+6\right)}
Factor the expressions that are not already factored.
\frac{a-9}{7\left(a-7\right)}
Cancel out a+6 in both numerator and denominator.
\frac{a-9}{7a-49}
Expand the expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}