Evaluate
\frac{19}{\left(x-4\right)\left(x-3\right)}
Expand
\frac{19}{\left(x-4\right)\left(x-3\right)}
Graph
Quiz
Polynomial
5 problems similar to:
\frac { 3 x + 7 } { x ^ { 2 } - 7 x + 12 } - \frac { 3 } { x - 3 }
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\frac{3x+7}{\left(x-4\right)\left(x-3\right)}-\frac{3}{x-3}
Factor x^{2}-7x+12.
\frac{3x+7}{\left(x-4\right)\left(x-3\right)}-\frac{3\left(x-4\right)}{\left(x-4\right)\left(x-3\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of \left(x-4\right)\left(x-3\right) and x-3 is \left(x-4\right)\left(x-3\right). Multiply \frac{3}{x-3} times \frac{x-4}{x-4}.
\frac{3x+7-3\left(x-4\right)}{\left(x-4\right)\left(x-3\right)}
Since \frac{3x+7}{\left(x-4\right)\left(x-3\right)} and \frac{3\left(x-4\right)}{\left(x-4\right)\left(x-3\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{3x+7-3x+12}{\left(x-4\right)\left(x-3\right)}
Do the multiplications in 3x+7-3\left(x-4\right).
\frac{19}{\left(x-4\right)\left(x-3\right)}
Combine like terms in 3x+7-3x+12.
\frac{19}{x^{2}-7x+12}
Expand \left(x-4\right)\left(x-3\right).
\frac{3x+7}{\left(x-4\right)\left(x-3\right)}-\frac{3}{x-3}
Factor x^{2}-7x+12.
\frac{3x+7}{\left(x-4\right)\left(x-3\right)}-\frac{3\left(x-4\right)}{\left(x-4\right)\left(x-3\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of \left(x-4\right)\left(x-3\right) and x-3 is \left(x-4\right)\left(x-3\right). Multiply \frac{3}{x-3} times \frac{x-4}{x-4}.
\frac{3x+7-3\left(x-4\right)}{\left(x-4\right)\left(x-3\right)}
Since \frac{3x+7}{\left(x-4\right)\left(x-3\right)} and \frac{3\left(x-4\right)}{\left(x-4\right)\left(x-3\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{3x+7-3x+12}{\left(x-4\right)\left(x-3\right)}
Do the multiplications in 3x+7-3\left(x-4\right).
\frac{19}{\left(x-4\right)\left(x-3\right)}
Combine like terms in 3x+7-3x+12.
\frac{19}{x^{2}-7x+12}
Expand \left(x-4\right)\left(x-3\right).
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\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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