Evaluate
12+12x-6x^{2}
Expand
12+12x-6x^{2}
Graph
Share
Copied to clipboard
x^{2}+2x+8+5x-2-\left(7x^{2}-5x-6\right)
Combine -6x^{2} and 7x^{2} to get x^{2}.
x^{2}+7x+8-2-\left(7x^{2}-5x-6\right)
Combine 2x and 5x to get 7x.
x^{2}+7x+6-\left(7x^{2}-5x-6\right)
Subtract 2 from 8 to get 6.
x^{2}+7x+6-7x^{2}+5x+6
To find the opposite of 7x^{2}-5x-6, find the opposite of each term.
-6x^{2}+7x+6+5x+6
Combine x^{2} and -7x^{2} to get -6x^{2}.
-6x^{2}+12x+6+6
Combine 7x and 5x to get 12x.
-6x^{2}+12x+12
Add 6 and 6 to get 12.
x^{2}+2x+8+5x-2-\left(7x^{2}-5x-6\right)
Combine -6x^{2} and 7x^{2} to get x^{2}.
x^{2}+7x+8-2-\left(7x^{2}-5x-6\right)
Combine 2x and 5x to get 7x.
x^{2}+7x+6-\left(7x^{2}-5x-6\right)
Subtract 2 from 8 to get 6.
x^{2}+7x+6-7x^{2}+5x+6
To find the opposite of 7x^{2}-5x-6, find the opposite of each term.
-6x^{2}+7x+6+5x+6
Combine x^{2} and -7x^{2} to get -6x^{2}.
-6x^{2}+12x+6+6
Combine 7x and 5x to get 12x.
-6x^{2}+12x+12
Add 6 and 6 to get 12.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}