Evaluate
\frac{2\left(2x-y\right)}{2p-q}
Expand
-\frac{2\left(y-2x\right)}{2p-q}
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\frac{5x-y-\left(x+y\right)}{2p-q}
Since \frac{5x-y}{2p-q} and \frac{x+y}{2p-q} have the same denominator, subtract them by subtracting their numerators.
\frac{5x-y-x-y}{2p-q}
Do the multiplications in 5x-y-\left(x+y\right).
\frac{4x-2y}{2p-q}
Combine like terms in 5x-y-x-y.
\frac{5x-y-\left(x+y\right)}{2p-q}
Since \frac{5x-y}{2p-q} and \frac{x+y}{2p-q} have the same denominator, subtract them by subtracting their numerators.
\frac{5x-y-x-y}{2p-q}
Do the multiplications in 5x-y-\left(x+y\right).
\frac{4x-2y}{2p-q}
Combine like terms in 5x-y-x-y.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}