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21+x-x^{2}
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21+x-x^{2}
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15-\left(x^{2}-3x+2x-6\right)
Apply the distributive property by multiplying each term of x+2 by each term of x-3.
15-\left(x^{2}-x-6\right)
Combine -3x and 2x to get -x.
15-x^{2}-\left(-x\right)-\left(-6\right)
To find the opposite of x^{2}-x-6, find the opposite of each term.
15-x^{2}+x-\left(-6\right)
The opposite of -x is x.
15-x^{2}+x+6
The opposite of -6 is 6.
21-x^{2}+x
Add 15 and 6 to get 21.
15-\left(x^{2}-3x+2x-6\right)
Apply the distributive property by multiplying each term of x+2 by each term of x-3.
15-\left(x^{2}-x-6\right)
Combine -3x and 2x to get -x.
15-x^{2}-\left(-x\right)-\left(-6\right)
To find the opposite of x^{2}-x-6, find the opposite of each term.
15-x^{2}+x-\left(-6\right)
The opposite of -x is x.
15-x^{2}+x+6
The opposite of -6 is 6.
21-x^{2}+x
Add 15 and 6 to get 21.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
Arithmetic
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Matrix
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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}