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\frac{1}{\xi -1}
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\frac{1}{\xi -1}
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\frac{2.5}{\left(\xi -1\right)\left(\frac{4}{2}+\frac{1}{2}\right)}
Convert 2 to fraction \frac{4}{2}.
\frac{2.5}{\left(\xi -1\right)\times \frac{4+1}{2}}
Since \frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{2.5}{\left(\xi -1\right)\times \frac{5}{2}}
Add 4 and 1 to get 5.
\frac{2.5}{\xi \times \frac{5}{2}-\frac{5}{2}}
Use the distributive property to multiply \xi -1 by \frac{5}{2}.
\frac{2.5}{\left(\xi -1\right)\left(\frac{4}{2}+\frac{1}{2}\right)}
Convert 2 to fraction \frac{4}{2}.
\frac{2.5}{\left(\xi -1\right)\times \frac{4+1}{2}}
Since \frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{2.5}{\left(\xi -1\right)\times \frac{5}{2}}
Add 4 and 1 to get 5.
\frac{2.5}{\xi \times \frac{5}{2}-\frac{5}{2}}
Use the distributive property to multiply \xi -1 by \frac{5}{2}.
Examples
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y = 3x + 4
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Matrix
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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}