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x^{2}-2x+1+2\left(x-1\right)+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}-2x+1+2x-2+1
Use the distributive property to multiply 2 by x-1.
x^{2}+1-2+1
Combine -2x and 2x to get 0.
x^{2}-1+1
Subtract 2 from 1 to get -1.
x^{2}
Add -1 and 1 to get 0.
x^{2}-2x+1+2\left(x-1\right)+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}-2x+1+2x-2+1
Use the distributive property to multiply 2 by x-1.
x^{2}+1-2+1
Combine -2x and 2x to get 0.
x^{2}-1+1
Subtract 2 from 1 to get -1.
x^{2}
Add -1 and 1 to get 0.
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Simultaneous equation
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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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