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\frac{2}{3x^{2}}
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\frac{2}{3x^{2}}
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\frac{\left(x+4\right)\left(x+10\right)}{9\left(x+5\right)\left(x+10\right)x^{2}}\times \frac{6x^{2}+84x+270}{x^{2}+13x+36}
Factor the expressions that are not already factored in \frac{x^{2}+14x+40}{9x^{4}+135x^{3}+450x^{2}}.
\frac{x+4}{9\left(x+5\right)x^{2}}\times \frac{6x^{2}+84x+270}{x^{2}+13x+36}
Cancel out x+10 in both numerator and denominator.
\frac{x+4}{9\left(x+5\right)x^{2}}\times \frac{6\left(x+5\right)\left(x+9\right)}{\left(x+4\right)\left(x+9\right)}
Factor the expressions that are not already factored in \frac{6x^{2}+84x+270}{x^{2}+13x+36}.
\frac{x+4}{9\left(x+5\right)x^{2}}\times \frac{6\left(x+5\right)}{x+4}
Cancel out x+9 in both numerator and denominator.
\frac{\left(x+4\right)\times 6\left(x+5\right)}{9\left(x+5\right)x^{2}\left(x+4\right)}
Multiply \frac{x+4}{9\left(x+5\right)x^{2}} times \frac{6\left(x+5\right)}{x+4} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{3x^{2}}
Cancel out 3\left(x+4\right)\left(x+5\right) in both numerator and denominator.
\frac{\left(x+4\right)\left(x+10\right)}{9\left(x+5\right)\left(x+10\right)x^{2}}\times \frac{6x^{2}+84x+270}{x^{2}+13x+36}
Factor the expressions that are not already factored in \frac{x^{2}+14x+40}{9x^{4}+135x^{3}+450x^{2}}.
\frac{x+4}{9\left(x+5\right)x^{2}}\times \frac{6x^{2}+84x+270}{x^{2}+13x+36}
Cancel out x+10 in both numerator and denominator.
\frac{x+4}{9\left(x+5\right)x^{2}}\times \frac{6\left(x+5\right)\left(x+9\right)}{\left(x+4\right)\left(x+9\right)}
Factor the expressions that are not already factored in \frac{6x^{2}+84x+270}{x^{2}+13x+36}.
\frac{x+4}{9\left(x+5\right)x^{2}}\times \frac{6\left(x+5\right)}{x+4}
Cancel out x+9 in both numerator and denominator.
\frac{\left(x+4\right)\times 6\left(x+5\right)}{9\left(x+5\right)x^{2}\left(x+4\right)}
Multiply \frac{x+4}{9\left(x+5\right)x^{2}} times \frac{6\left(x+5\right)}{x+4} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{3x^{2}}
Cancel out 3\left(x+4\right)\left(x+5\right) in both numerator and denominator.
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y = 3x + 4
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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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