(3 { x }^{ 2 } )((2 { x }^{ 2 } +6x+1)-(2 { x }^{ 2 } +6x-2)
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9x^{2}
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9x^{2}
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3x^{2}\left(2x^{2}+6x+1-2x^{2}-6x+2\right)
To find the opposite of 2x^{2}+6x-2, find the opposite of each term.
3x^{2}\left(6x+1-6x+2\right)
Combine 2x^{2} and -2x^{2} to get 0.
3x^{2}\left(1+2\right)
Combine 6x and -6x to get 0.
3x^{2}\times 3
Add 1 and 2 to get 3.
9x^{2}
Multiply 3 and 3 to get 9.
3x^{2}\left(2x^{2}+6x+1-2x^{2}-6x+2\right)
To find the opposite of 2x^{2}+6x-2, find the opposite of each term.
3x^{2}\left(6x+1-6x+2\right)
Combine 2x^{2} and -2x^{2} to get 0.
3x^{2}\left(1+2\right)
Combine 6x and -6x to get 0.
3x^{2}\times 3
Add 1 and 2 to get 3.
9x^{2}
Multiply 3 and 3 to get 9.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}