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5x^{2}-11
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5x^{2}-11
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6x^{2}-\left(9-6x^{2}+2+7x^{2}\right)
Use the distributive property to multiply -2 by 3x^{2}-1.
6x^{2}-\left(11-6x^{2}+7x^{2}\right)
Add 9 and 2 to get 11.
6x^{2}-\left(11+x^{2}\right)
Combine -6x^{2} and 7x^{2} to get x^{2}.
6x^{2}-11-x^{2}
To find the opposite of 11+x^{2}, find the opposite of each term.
5x^{2}-11
Combine 6x^{2} and -x^{2} to get 5x^{2}.
6x^{2}-\left(9-6x^{2}+2+7x^{2}\right)
Use the distributive property to multiply -2 by 3x^{2}-1.
6x^{2}-\left(11-6x^{2}+7x^{2}\right)
Add 9 and 2 to get 11.
6x^{2}-\left(11+x^{2}\right)
Combine -6x^{2} and 7x^{2} to get x^{2}.
6x^{2}-11-x^{2}
To find the opposite of 11+x^{2}, find the opposite of each term.
5x^{2}-11
Combine 6x^{2} and -x^{2} to get 5x^{2}.
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\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
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