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x^{2}-2x+1+x\left(3-x\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}-2x+1+3x-x^{2}
Use the distributive property to multiply x by 3-x.
x^{2}+x+1-x^{2}
Combine -2x and 3x to get x.
x+1
Combine x^{2} and -x^{2} to get 0.
x^{2}-2x+1+x\left(3-x\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}-2x+1+3x-x^{2}
Use the distributive property to multiply x by 3-x.
x^{2}+x+1-x^{2}
Combine -2x and 3x to get x.
x+1
Combine x^{2} and -x^{2} to get 0.
Examples
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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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