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\frac{x^{2}-4x+4}{\left(x-1\right)\left(x-2\right)}+\frac{1}{x-1}
Express \frac{\frac{x^{2}-4x+4}{x-1}}{x-2} as a single fraction.
\frac{\left(x-2\right)^{2}}{\left(x-2\right)\left(x-1\right)}+\frac{1}{x-1}
Factor the expressions that are not already factored in \frac{x^{2}-4x+4}{\left(x-1\right)\left(x-2\right)}.
\frac{x-2}{x-1}+\frac{1}{x-1}
Cancel out x-2 in both numerator and denominator.
\frac{x-2+1}{x-1}
Since \frac{x-2}{x-1} and \frac{1}{x-1} have the same denominator, add them by adding their numerators.
\frac{x-1}{x-1}
Combine like terms in x-2+1.
1
Cancel out x-1 in both numerator and denominator.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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