Evaluate
\left(x-1\right)^{2}
Expand
x^{2}-2x+1
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x^{2}+6x+9-8\left(x+3\right)+16
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
x^{2}+6x+9-8x-24+16
Use the distributive property to multiply -8 by x+3.
x^{2}-2x+9-24+16
Combine 6x and -8x to get -2x.
x^{2}-2x-15+16
Subtract 24 from 9 to get -15.
x^{2}-2x+1
Add -15 and 16 to get 1.
x^{2}+6x+9-8\left(x+3\right)+16
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
x^{2}+6x+9-8x-24+16
Use the distributive property to multiply -8 by x+3.
x^{2}-2x+9-24+16
Combine 6x and -8x to get -2x.
x^{2}-2x-15+16
Subtract 24 from 9 to get -15.
x^{2}-2x+1
Add -15 and 16 to get 1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
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