Evaluate
x^{2}-\frac{7x}{2}+\frac{3}{2}
Expand
x^{2}-\frac{7x}{2}+\frac{3}{2}
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x^{2}+x\left(-\frac{1}{2}\right)-3x-3\left(-\frac{1}{2}\right)
Apply the distributive property by multiplying each term of x-3 by each term of x-\frac{1}{2}.
x^{2}-\frac{7}{2}x-3\left(-\frac{1}{2}\right)
Combine x\left(-\frac{1}{2}\right) and -3x to get -\frac{7}{2}x.
x^{2}-\frac{7}{2}x+\frac{-3\left(-1\right)}{2}
Express -3\left(-\frac{1}{2}\right) as a single fraction.
x^{2}-\frac{7}{2}x+\frac{3}{2}
Multiply -3 and -1 to get 3.
x^{2}+x\left(-\frac{1}{2}\right)-3x-3\left(-\frac{1}{2}\right)
Apply the distributive property by multiplying each term of x-3 by each term of x-\frac{1}{2}.
x^{2}-\frac{7}{2}x-3\left(-\frac{1}{2}\right)
Combine x\left(-\frac{1}{2}\right) and -3x to get -\frac{7}{2}x.
x^{2}-\frac{7}{2}x+\frac{-3\left(-1\right)}{2}
Express -3\left(-\frac{1}{2}\right) as a single fraction.
x^{2}-\frac{7}{2}x+\frac{3}{2}
Multiply -3 and -1 to get 3.
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
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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
\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
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