Evaluate
4-4x-2x^{2}
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4-4x-2x^{2}
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\left(-2x+2\right)\left(x+3\right)-2
Use the distributive property to multiply -2 by x-1.
-2x^{2}-6x+2x+6-2
Apply the distributive property by multiplying each term of -2x+2 by each term of x+3.
-2x^{2}-4x+6-2
Combine -6x and 2x to get -4x.
-2x^{2}-4x+4
Subtract 2 from 6 to get 4.
\left(-2x+2\right)\left(x+3\right)-2
Use the distributive property to multiply -2 by x-1.
-2x^{2}-6x+2x+6-2
Apply the distributive property by multiplying each term of -2x+2 by each term of x+3.
-2x^{2}-4x+6-2
Combine -6x and 2x to get -4x.
-2x^{2}-4x+4
Subtract 2 from 6 to get 4.
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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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}