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\frac{x+1}{2}
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\frac{x+1}{2}
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x-\frac{1}{2}x-\frac{1}{2}\left(-1\right)
Use the distributive property to multiply -\frac{1}{2} by x-1.
x-\frac{1}{2}x+\frac{1}{2}
Multiply -\frac{1}{2} and -1 to get \frac{1}{2}.
\frac{1}{2}x+\frac{1}{2}
Combine x and -\frac{1}{2}x to get \frac{1}{2}x.
x-\frac{1}{2}x-\frac{1}{2}\left(-1\right)
Use the distributive property to multiply -\frac{1}{2} by x-1.
x-\frac{1}{2}x+\frac{1}{2}
Multiply -\frac{1}{2} and -1 to get \frac{1}{2}.
\frac{1}{2}x+\frac{1}{2}
Combine x and -\frac{1}{2}x to get \frac{1}{2}x.
Examples
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Matrix
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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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