Evaluate
2\left(x^{2}-3x+6\right)
Expand
2x^{2}-6x+12
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-x^{2}-13x+4+6x^{2}+9-\left(3x^{2}-7x+1\right)
Combine -5x and -8x to get -13x.
-x^{2}-13x+13+6x^{2}-\left(3x^{2}-7x+1\right)
Add 4 and 9 to get 13.
-x^{2}-13x+13+6x^{2}-3x^{2}+7x-1
To find the opposite of 3x^{2}-7x+1, find the opposite of each term.
-x^{2}-13x+13+3x^{2}+7x-1
Combine 6x^{2} and -3x^{2} to get 3x^{2}.
-x^{2}-6x+13+3x^{2}-1
Combine -13x and 7x to get -6x.
-x^{2}-6x+12+3x^{2}
Subtract 1 from 13 to get 12.
2x^{2}-6x+12
Combine -x^{2} and 3x^{2} to get 2x^{2}.
-x^{2}-13x+4+6x^{2}+9-\left(3x^{2}-7x+1\right)
Combine -5x and -8x to get -13x.
-x^{2}-13x+13+6x^{2}-\left(3x^{2}-7x+1\right)
Add 4 and 9 to get 13.
-x^{2}-13x+13+6x^{2}-3x^{2}+7x-1
To find the opposite of 3x^{2}-7x+1, find the opposite of each term.
-x^{2}-13x+13+3x^{2}+7x-1
Combine 6x^{2} and -3x^{2} to get 3x^{2}.
-x^{2}-6x+13+3x^{2}-1
Combine -13x and 7x to get -6x.
-x^{2}-6x+12+3x^{2}
Subtract 1 from 13 to get 12.
2x^{2}-6x+12
Combine -x^{2} and 3x^{2} to get 2x^{2}.
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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}