Evaluate
2\left(x^{2}-6\right)
Expand
2x^{2}-12
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x^{2}-2x+3x-6+\left(x-3\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x+3 by each term of x-2.
x^{2}+x-6+\left(x-3\right)\left(x+2\right)
Combine -2x and 3x to get x.
x^{2}+x-6+x^{2}+2x-3x-6
Apply the distributive property by multiplying each term of x-3 by each term of x+2.
x^{2}+x-6+x^{2}-x-6
Combine 2x and -3x to get -x.
2x^{2}+x-6-x-6
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}-6-6
Combine x and -x to get 0.
2x^{2}-12
Subtract 6 from -6 to get -12.
x^{2}-2x+3x-6+\left(x-3\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x+3 by each term of x-2.
x^{2}+x-6+\left(x-3\right)\left(x+2\right)
Combine -2x and 3x to get x.
x^{2}+x-6+x^{2}+2x-3x-6
Apply the distributive property by multiplying each term of x-3 by each term of x+2.
x^{2}+x-6+x^{2}-x-6
Combine 2x and -3x to get -x.
2x^{2}+x-6-x-6
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}-6-6
Combine x and -x to get 0.
2x^{2}-12
Subtract 6 from -6 to get -12.
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
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Matrix
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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}