Evaluate
\frac{x^{2}+11x+8}{\left(x-4\right)\left(x+1\right)}
Expand
\frac{x^{2}+11x+8}{x^{2}-3x-4}
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\frac{3x^{2}+5x}{\left(x-4\right)\left(x+1\right)}-2
Factor x^{2}-3x-4.
\frac{3x^{2}+5x}{\left(x-4\right)\left(x+1\right)}-\frac{2\left(x-4\right)\left(x+1\right)}{\left(x-4\right)\left(x+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{\left(x-4\right)\left(x+1\right)}{\left(x-4\right)\left(x+1\right)}.
\frac{3x^{2}+5x-2\left(x-4\right)\left(x+1\right)}{\left(x-4\right)\left(x+1\right)}
Since \frac{3x^{2}+5x}{\left(x-4\right)\left(x+1\right)} and \frac{2\left(x-4\right)\left(x+1\right)}{\left(x-4\right)\left(x+1\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{3x^{2}+5x-2x^{2}-2x+8x+8}{\left(x-4\right)\left(x+1\right)}
Do the multiplications in 3x^{2}+5x-2\left(x-4\right)\left(x+1\right).
\frac{x^{2}+11x+8}{\left(x-4\right)\left(x+1\right)}
Combine like terms in 3x^{2}+5x-2x^{2}-2x+8x+8.
\frac{x^{2}+11x+8}{x^{2}-3x-4}
Expand \left(x-4\right)\left(x+1\right).
\frac{3x^{2}+5x}{\left(x-4\right)\left(x+1\right)}-2
Factor x^{2}-3x-4.
\frac{3x^{2}+5x}{\left(x-4\right)\left(x+1\right)}-\frac{2\left(x-4\right)\left(x+1\right)}{\left(x-4\right)\left(x+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{\left(x-4\right)\left(x+1\right)}{\left(x-4\right)\left(x+1\right)}.
\frac{3x^{2}+5x-2\left(x-4\right)\left(x+1\right)}{\left(x-4\right)\left(x+1\right)}
Since \frac{3x^{2}+5x}{\left(x-4\right)\left(x+1\right)} and \frac{2\left(x-4\right)\left(x+1\right)}{\left(x-4\right)\left(x+1\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{3x^{2}+5x-2x^{2}-2x+8x+8}{\left(x-4\right)\left(x+1\right)}
Do the multiplications in 3x^{2}+5x-2\left(x-4\right)\left(x+1\right).
\frac{x^{2}+11x+8}{\left(x-4\right)\left(x+1\right)}
Combine like terms in 3x^{2}+5x-2x^{2}-2x+8x+8.
\frac{x^{2}+11x+8}{x^{2}-3x-4}
Expand \left(x-4\right)\left(x+1\right).
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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