Evaluate
\frac{4\left(x-1\right)}{4x-3}
Expand
\frac{4\left(x-1\right)}{4x-3}
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\frac{\left(2x-2\right)\times \frac{1}{2}}{x-\frac{3}{4}}
Divide 2x-2 by \frac{x-\frac{3}{4}}{\frac{1}{2}} by multiplying 2x-2 by the reciprocal of \frac{x-\frac{3}{4}}{\frac{1}{2}}.
\frac{2x\times \frac{1}{2}-2\times \frac{1}{2}}{x-\frac{3}{4}}
Use the distributive property to multiply 2x-2 by \frac{1}{2}.
\frac{x-2\times \frac{1}{2}}{x-\frac{3}{4}}
Cancel out 2 and 2.
\frac{x-1}{x-\frac{3}{4}}
Multiply -2 times \frac{1}{2}.
\frac{\left(2x-2\right)\times \frac{1}{2}}{x-\frac{3}{4}}
Divide 2x-2 by \frac{x-\frac{3}{4}}{\frac{1}{2}} by multiplying 2x-2 by the reciprocal of \frac{x-\frac{3}{4}}{\frac{1}{2}}.
\frac{2x\times \frac{1}{2}-2\times \frac{1}{2}}{x-\frac{3}{4}}
Use the distributive property to multiply 2x-2 by \frac{1}{2}.
\frac{x-2\times \frac{1}{2}}{x-\frac{3}{4}}
Cancel out 2 and 2.
\frac{x-1}{x-\frac{3}{4}}
Multiply -2 times \frac{1}{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}