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-\frac{x-7}{x-4}
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-\frac{x-7}{x-4}
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\frac{\left(2x-4\right)\left(x^{2}-13x+42\right)}{\left(4-2x\right)\left(x^{2}-10x+24\right)}
Divide \frac{2x-4}{4-2x} by \frac{x^{2}-10x+24}{x^{2}-13x+42} by multiplying \frac{2x-4}{4-2x} by the reciprocal of \frac{x^{2}-10x+24}{x^{2}-13x+42}.
\frac{-\left(-2x+4\right)\left(x^{2}-13x+42\right)}{\left(-2x+4\right)\left(x^{2}-10x+24\right)}
Extract the negative sign in 2x-4.
\frac{-\left(x^{2}-13x+42\right)}{x^{2}-10x+24}
Cancel out -2x+4 in both numerator and denominator.
\frac{-\left(x-7\right)\left(x-6\right)}{\left(x-6\right)\left(x-4\right)}
Factor the expressions that are not already factored.
\frac{-\left(x-7\right)}{x-4}
Cancel out x-6 in both numerator and denominator.
\frac{-x+7}{x-4}
Expand the expression.
\frac{\left(2x-4\right)\left(x^{2}-13x+42\right)}{\left(4-2x\right)\left(x^{2}-10x+24\right)}
Divide \frac{2x-4}{4-2x} by \frac{x^{2}-10x+24}{x^{2}-13x+42} by multiplying \frac{2x-4}{4-2x} by the reciprocal of \frac{x^{2}-10x+24}{x^{2}-13x+42}.
\frac{-\left(-2x+4\right)\left(x^{2}-13x+42\right)}{\left(-2x+4\right)\left(x^{2}-10x+24\right)}
Extract the negative sign in 2x-4.
\frac{-\left(x^{2}-13x+42\right)}{x^{2}-10x+24}
Cancel out -2x+4 in both numerator and denominator.
\frac{-\left(x-7\right)\left(x-6\right)}{\left(x-6\right)\left(x-4\right)}
Factor the expressions that are not already factored.
\frac{-\left(x-7\right)}{x-4}
Cancel out x-6 in both numerator and denominator.
\frac{-x+7}{x-4}
Expand the expression.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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