Evaluate
6x^{2}-x-\frac{5}{2}
Expand
6x^{2}-x-\frac{5}{2}
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2x^{2}-\frac{1}{2}+3x-4x+4x^{2}-2
Use the distributive property to multiply -4 by x-x^{2}+\frac{1}{2}.
2x^{2}-\frac{1}{2}-x+4x^{2}-2
Combine 3x and -4x to get -x.
6x^{2}-\frac{1}{2}-x-2
Combine 2x^{2} and 4x^{2} to get 6x^{2}.
6x^{2}-\frac{5}{2}-x
Subtract 2 from -\frac{1}{2} to get -\frac{5}{2}.
2x^{2}-\frac{1}{2}+3x-4x+4x^{2}-2
Use the distributive property to multiply -4 by x-x^{2}+\frac{1}{2}.
2x^{2}-\frac{1}{2}-x+4x^{2}-2
Combine 3x and -4x to get -x.
6x^{2}-\frac{1}{2}-x-2
Combine 2x^{2} and 4x^{2} to get 6x^{2}.
6x^{2}-\frac{5}{2}-x
Subtract 2 from -\frac{1}{2} to get -\frac{5}{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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\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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