Evaluate
2x\left(10-3x\right)
Expand
20x-6x^{2}
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-2x^{2}+3x+5-3x^{2}+7x-2-x^{2}+10x-3
To find the opposite of 3x^{2}-7x+2, find the opposite of each term.
-5x^{2}+3x+5+7x-2-x^{2}+10x-3
Combine -2x^{2} and -3x^{2} to get -5x^{2}.
-5x^{2}+10x+5-2-x^{2}+10x-3
Combine 3x and 7x to get 10x.
-5x^{2}+10x+3-x^{2}+10x-3
Subtract 2 from 5 to get 3.
-6x^{2}+10x+3+10x-3
Combine -5x^{2} and -x^{2} to get -6x^{2}.
-6x^{2}+20x+3-3
Combine 10x and 10x to get 20x.
-6x^{2}+20x
Subtract 3 from 3 to get 0.
-2x^{2}+3x+5-3x^{2}+7x-2-x^{2}+10x-3
To find the opposite of 3x^{2}-7x+2, find the opposite of each term.
-5x^{2}+3x+5+7x-2-x^{2}+10x-3
Combine -2x^{2} and -3x^{2} to get -5x^{2}.
-5x^{2}+10x+5-2-x^{2}+10x-3
Combine 3x and 7x to get 10x.
-5x^{2}+10x+3-x^{2}+10x-3
Subtract 2 from 5 to get 3.
-6x^{2}+10x+3+10x-3
Combine -5x^{2} and -x^{2} to get -6x^{2}.
-6x^{2}+20x+3-3
Combine 10x and 10x to get 20x.
-6x^{2}+20x
Subtract 3 from 3 to get 0.
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
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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}