Evaluate
\frac{52abc}{b-6}
Expand
\frac{52abc}{b-6}
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\frac{2\left(56-30\right)abc\left(3a-12\right)}{3\left(a-4\right)\left(b-6\right)}
Cancel out 48 in both numerator and denominator.
\frac{2\times 26abc\left(3a-12\right)}{3\left(a-4\right)\left(b-6\right)}
Subtract 30 from 56 to get 26.
\frac{52abc\left(3a-12\right)}{3\left(a-4\right)\left(b-6\right)}
Multiply 2 and 26 to get 52.
\frac{3\times 52abc\left(a-4\right)}{3\left(a-4\right)\left(b-6\right)}
Factor the expressions that are not already factored.
\frac{52abc}{b-6}
Cancel out 3\left(a-4\right) in both numerator and denominator.
\frac{2\left(56-30\right)abc\left(3a-12\right)}{3\left(a-4\right)\left(b-6\right)}
Cancel out 48 in both numerator and denominator.
\frac{2\times 26abc\left(3a-12\right)}{3\left(a-4\right)\left(b-6\right)}
Subtract 30 from 56 to get 26.
\frac{52abc\left(3a-12\right)}{3\left(a-4\right)\left(b-6\right)}
Multiply 2 and 26 to get 52.
\frac{3\times 52abc\left(a-4\right)}{3\left(a-4\right)\left(b-6\right)}
Factor the expressions that are not already factored.
\frac{52abc}{b-6}
Cancel out 3\left(a-4\right) in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}