Evaluate
\frac{5x}{\left(8-3x\right)\left(2x-3\right)}
Expand
\frac{5x}{\left(8-3x\right)\left(2x-3\right)}
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\frac{5x}{16x-6x^{2}-24+9x}
Apply the distributive property by multiplying each term of 2x-3 by each term of 8-3x.
\frac{5x}{25x-6x^{2}-24}
Combine 16x and 9x to get 25x.
\frac{5x}{16x-6x^{2}-24+9x}
Apply the distributive property by multiplying each term of 2x-3 by each term of 8-3x.
\frac{5x}{25x-6x^{2}-24}
Combine 16x and 9x to get 25x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}