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