Evaluate
\left(6-x\right)\left(x+2\right)
Expand
12+4x-x^{2}
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x\left(-x\right)+6x+2\left(-x\right)+12
Apply the distributive property by multiplying each term of x+2 by each term of -x+6.
x^{2}\left(-1\right)+6x+2\left(-1\right)x+12
Multiply x and x to get x^{2}.
x^{2}\left(-1\right)+6x-2x+12
Multiply 2 and -1 to get -2.
x^{2}\left(-1\right)+4x+12
Combine 6x and -2x to get 4x.
x\left(-x\right)+6x+2\left(-x\right)+12
Apply the distributive property by multiplying each term of x+2 by each term of -x+6.
x^{2}\left(-1\right)+6x+2\left(-1\right)x+12
Multiply x and x to get x^{2}.
x^{2}\left(-1\right)+6x-2x+12
Multiply 2 and -1 to get -2.
x^{2}\left(-1\right)+4x+12
Combine 6x and -2x to get 4x.
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
Arithmetic
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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}