Evaluate
2\left(-3x^{3}+x^{2}+7x-6\right)
Expand
-6x^{3}+2x^{2}+14x-12
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4x^{3}-8x^{2}+5x-3-10x^{3}+10x^{2}+9x-9
To find the opposite of 10x^{3}-10x^{2}-9x+9, find the opposite of each term.
-6x^{3}-8x^{2}+5x-3+10x^{2}+9x-9
Combine 4x^{3} and -10x^{3} to get -6x^{3}.
-6x^{3}+2x^{2}+5x-3+9x-9
Combine -8x^{2} and 10x^{2} to get 2x^{2}.
-6x^{3}+2x^{2}+14x-3-9
Combine 5x and 9x to get 14x.
-6x^{3}+2x^{2}+14x-12
Subtract 9 from -3 to get -12.
4x^{3}-8x^{2}+5x-3-10x^{3}+10x^{2}+9x-9
To find the opposite of 10x^{3}-10x^{2}-9x+9, find the opposite of each term.
-6x^{3}-8x^{2}+5x-3+10x^{2}+9x-9
Combine 4x^{3} and -10x^{3} to get -6x^{3}.
-6x^{3}+2x^{2}+5x-3+9x-9
Combine -8x^{2} and 10x^{2} to get 2x^{2}.
-6x^{3}+2x^{2}+14x-3-9
Combine 5x and 9x to get 14x.
-6x^{3}+2x^{2}+14x-12
Subtract 9 from -3 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}