Evaluate
x^{2}-17x+10
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x^{2}-17x+10
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30-20-\left(-x\right)-x\left(18-x\right)
To find the opposite of 20-x, find the opposite of each term.
30-20+x-x\left(18-x\right)
The opposite of -x is x.
10+x-x\left(18-x\right)
Subtract 20 from 30 to get 10.
10+x-\left(18x-x^{2}\right)
Use the distributive property to multiply x by 18-x.
10+x-18x-\left(-x^{2}\right)
To find the opposite of 18x-x^{2}, find the opposite of each term.
10+x-18x+x^{2}
The opposite of -x^{2} is x^{2}.
10-17x+x^{2}
Combine x and -18x to get -17x.
30-20-\left(-x\right)-x\left(18-x\right)
To find the opposite of 20-x, find the opposite of each term.
30-20+x-x\left(18-x\right)
The opposite of -x is x.
10+x-x\left(18-x\right)
Subtract 20 from 30 to get 10.
10+x-\left(18x-x^{2}\right)
Use the distributive property to multiply x by 18-x.
10+x-18x-\left(-x^{2}\right)
To find the opposite of 18x-x^{2}, find the opposite of each term.
10+x-18x+x^{2}
The opposite of -x^{2} is x^{2}.
10-17x+x^{2}
Combine x and -18x to get -17x.
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Linear equation
y = 3x + 4
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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}