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\frac{3}{x-1}+\frac{3\left(-1\right)}{x-1}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x-1 and 1-x is x-1. Multiply \frac{3}{1-x} times \frac{-1}{-1}.
\frac{3+3\left(-1\right)}{x-1}
Since \frac{3}{x-1} and \frac{3\left(-1\right)}{x-1} have the same denominator, add them by adding their numerators.
\frac{3-3}{x-1}
Do the multiplications in 3+3\left(-1\right).
\frac{0}{x-1}
Do the calculations in 3-3.
0
Zero divided by any non-zero term gives zero.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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Limits
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