Evaluate
10+11x-x^{2}
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10+11x-x^{2}
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8x-\left(x^{2}-5x+2x-10\right)
Apply the distributive property by multiplying each term of x+2 by each term of x-5.
8x-\left(x^{2}-3x-10\right)
Combine -5x and 2x to get -3x.
8x-x^{2}-\left(-3x\right)-\left(-10\right)
To find the opposite of x^{2}-3x-10, find the opposite of each term.
8x-x^{2}+3x-\left(-10\right)
The opposite of -3x is 3x.
8x-x^{2}+3x+10
The opposite of -10 is 10.
11x-x^{2}+10
Combine 8x and 3x to get 11x.
8x-\left(x^{2}-5x+2x-10\right)
Apply the distributive property by multiplying each term of x+2 by each term of x-5.
8x-\left(x^{2}-3x-10\right)
Combine -5x and 2x to get -3x.
8x-x^{2}-\left(-3x\right)-\left(-10\right)
To find the opposite of x^{2}-3x-10, find the opposite of each term.
8x-x^{2}+3x-\left(-10\right)
The opposite of -3x is 3x.
8x-x^{2}+3x+10
The opposite of -10 is 10.
11x-x^{2}+10
Combine 8x and 3x to get 11x.
Examples
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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
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