Evaluate
x^{2}-\frac{5x}{2}+1
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x^{2}-\frac{5x}{2}+1
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x^{2}-2x-\frac{1}{2}x-\frac{1}{2}\left(-2\right)
Apply the distributive property by multiplying each term of x-\frac{1}{2} by each term of x-2.
x^{2}-\frac{5}{2}x-\frac{1}{2}\left(-2\right)
Combine -2x and -\frac{1}{2}x to get -\frac{5}{2}x.
x^{2}-\frac{5}{2}x+\frac{-\left(-2\right)}{2}
Express -\frac{1}{2}\left(-2\right) as a single fraction.
x^{2}-\frac{5}{2}x+\frac{2}{2}
Multiply -1 and -2 to get 2.
x^{2}-\frac{5}{2}x+1
Divide 2 by 2 to get 1.
x^{2}-2x-\frac{1}{2}x-\frac{1}{2}\left(-2\right)
Apply the distributive property by multiplying each term of x-\frac{1}{2} by each term of x-2.
x^{2}-\frac{5}{2}x-\frac{1}{2}\left(-2\right)
Combine -2x and -\frac{1}{2}x to get -\frac{5}{2}x.
x^{2}-\frac{5}{2}x+\frac{-\left(-2\right)}{2}
Express -\frac{1}{2}\left(-2\right) as a single fraction.
x^{2}-\frac{5}{2}x+\frac{2}{2}
Multiply -1 and -2 to get 2.
x^{2}-\frac{5}{2}x+1
Divide 2 by 2 to get 1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}