Evaluate
\frac{4k\left(2k-3\right)}{3k_{1}\left(8k-5\right)}
Expand
\frac{4\left(2k^{2}-3k\right)}{3k_{1}\left(8k-5\right)}
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\frac{2RMk-3RM}{3k_{1}jam}\times \frac{4kjam}{RM\left(8k-5\right)}
Use the distributive property to multiply RM by 2k-3.
\frac{2RMk-3RM}{3k_{1}jam}\times \frac{4kjam}{8RMk-5RM}
Use the distributive property to multiply RM by 8k-5.
\frac{\left(2RMk-3RM\right)\times 4kjam}{3k_{1}jam\left(8RMk-5RM\right)}
Multiply \frac{2RMk-3RM}{3k_{1}jam} times \frac{4kjam}{8RMk-5RM} by multiplying numerator times numerator and denominator times denominator.
\frac{4k\left(2MRk-3MR\right)}{3k_{1}\left(8MRk-5MR\right)}
Cancel out ajm in both numerator and denominator.
\frac{4MRk\left(2k-3\right)}{3MRk_{1}\left(8k-5\right)}
Factor the expressions that are not already factored.
\frac{4k\left(2k-3\right)}{3k_{1}\left(8k-5\right)}
Cancel out MR in both numerator and denominator.
\frac{8k^{2}-12k}{24kk_{1}-15k_{1}}
Expand the expression.
\frac{2RMk-3RM}{3k_{1}jam}\times \frac{4kjam}{RM\left(8k-5\right)}
Use the distributive property to multiply RM by 2k-3.
\frac{2RMk-3RM}{3k_{1}jam}\times \frac{4kjam}{8RMk-5RM}
Use the distributive property to multiply RM by 8k-5.
\frac{\left(2RMk-3RM\right)\times 4kjam}{3k_{1}jam\left(8RMk-5RM\right)}
Multiply \frac{2RMk-3RM}{3k_{1}jam} times \frac{4kjam}{8RMk-5RM} by multiplying numerator times numerator and denominator times denominator.
\frac{4k\left(2MRk-3MR\right)}{3k_{1}\left(8MRk-5MR\right)}
Cancel out ajm in both numerator and denominator.
\frac{4MRk\left(2k-3\right)}{3MRk_{1}\left(8k-5\right)}
Factor the expressions that are not already factored.
\frac{4k\left(2k-3\right)}{3k_{1}\left(8k-5\right)}
Cancel out MR in both numerator and denominator.
\frac{8k^{2}-12k}{24kk_{1}-15k_{1}}
Expand the expression.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}