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\frac{5x^{2}+4x-\left(3x+22\right)}{5x+11}
Since \frac{5x^{2}+4x}{5x+11} and \frac{3x+22}{5x+11} have the same denominator, subtract them by subtracting their numerators.
\frac{5x^{2}+4x-3x-22}{5x+11}
Do the multiplications in 5x^{2}+4x-\left(3x+22\right).
\frac{5x^{2}+x-22}{5x+11}
Combine like terms in 5x^{2}+4x-3x-22.
\frac{\left(x-2\right)\left(5x+11\right)}{5x+11}
Factor the expressions that are not already factored in \frac{5x^{2}+x-22}{5x+11}.
x-2
Cancel out 5x+11 in both numerator and denominator.
\frac{5x^{2}+4x-\left(3x+22\right)}{5x+11}
Since \frac{5x^{2}+4x}{5x+11} and \frac{3x+22}{5x+11} have the same denominator, subtract them by subtracting their numerators.
\frac{5x^{2}+4x-3x-22}{5x+11}
Do the multiplications in 5x^{2}+4x-\left(3x+22\right).
\frac{5x^{2}+x-22}{5x+11}
Combine like terms in 5x^{2}+4x-3x-22.
\frac{\left(x-2\right)\left(5x+11\right)}{5x+11}
Factor the expressions that are not already factored in \frac{5x^{2}+x-22}{5x+11}.
x-2
Cancel out 5x+11 in both numerator and denominator.
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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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