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15x
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\frac{3\left(x-1\right)\left(x+2\right)\left(x+3\right)}{\left(x-1\right)\left(x+3\right)}\times \frac{5x^{2}-10x}{x^{2}-4}
Factor the expressions that are not already factored in \frac{3x^{3}+12x^{2}+3x-18}{x^{2}+2x-3}.
3\left(x+2\right)\times \frac{5x^{2}-10x}{x^{2}-4}
Cancel out \left(x-1\right)\left(x+3\right) in both numerator and denominator.
\left(3x+6\right)\times \frac{5x^{2}-10x}{x^{2}-4}
Expand the expression.
\left(3x+6\right)\times \frac{5x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}
Factor the expressions that are not already factored in \frac{5x^{2}-10x}{x^{2}-4}.
\left(3x+6\right)\times \frac{5x}{x+2}
Cancel out x-2 in both numerator and denominator.
\frac{\left(3x+6\right)\times 5x}{x+2}
Express \left(3x+6\right)\times \frac{5x}{x+2} as a single fraction.
\frac{3\times 5x\left(x+2\right)}{x+2}
Factor the expressions that are not already factored.
3\times 5x
Cancel out x+2 in both numerator and denominator.
15x
Expand the expression.
\frac{3\left(x-1\right)\left(x+2\right)\left(x+3\right)}{\left(x-1\right)\left(x+3\right)}\times \frac{5x^{2}-10x}{x^{2}-4}
Factor the expressions that are not already factored in \frac{3x^{3}+12x^{2}+3x-18}{x^{2}+2x-3}.
3\left(x+2\right)\times \frac{5x^{2}-10x}{x^{2}-4}
Cancel out \left(x-1\right)\left(x+3\right) in both numerator and denominator.
\left(3x+6\right)\times \frac{5x^{2}-10x}{x^{2}-4}
Expand the expression.
\left(3x+6\right)\times \frac{5x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}
Factor the expressions that are not already factored in \frac{5x^{2}-10x}{x^{2}-4}.
\left(3x+6\right)\times \frac{5x}{x+2}
Cancel out x-2 in both numerator and denominator.
\frac{\left(3x+6\right)\times 5x}{x+2}
Express \left(3x+6\right)\times \frac{5x}{x+2} as a single fraction.
\frac{3\times 5x\left(x+2\right)}{x+2}
Factor the expressions that are not already factored.
3\times 5x
Cancel out x+2 in both numerator and denominator.
15x
Expand the expression.
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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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