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\frac{-11x^{2}-\left(25-12x^{2}\right)}{x-5}
Since \frac{-11x^{2}}{x-5} and \frac{25-12x^{2}}{x-5} have the same denominator, subtract them by subtracting their numerators.
\frac{-11x^{2}-25+12x^{2}}{x-5}
Do the multiplications in -11x^{2}-\left(25-12x^{2}\right).
\frac{x^{2}-25}{x-5}
Combine like terms in -11x^{2}-25+12x^{2}.
\frac{\left(x-5\right)\left(x+5\right)}{x-5}
Factor the expressions that are not already factored in \frac{x^{2}-25}{x-5}.
x+5
Cancel out x-5 in both numerator and denominator.
\frac{-11x^{2}-\left(25-12x^{2}\right)}{x-5}
Since \frac{-11x^{2}}{x-5} and \frac{25-12x^{2}}{x-5} have the same denominator, subtract them by subtracting their numerators.
\frac{-11x^{2}-25+12x^{2}}{x-5}
Do the multiplications in -11x^{2}-\left(25-12x^{2}\right).
\frac{x^{2}-25}{x-5}
Combine like terms in -11x^{2}-25+12x^{2}.
\frac{\left(x-5\right)\left(x+5\right)}{x-5}
Factor the expressions that are not already factored in \frac{x^{2}-25}{x-5}.
x+5
Cancel out x-5 in both numerator and denominator.
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y = 3x + 4
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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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