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3x^{2}
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3x^{2}
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x^{2}-2x+1+\left(x+1\right)^{2}+x^{2}-2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}-2x+1+x^{2}+2x+1+x^{2}-2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
2x^{2}-2x+1+2x+1+x^{2}-2
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+1+1+x^{2}-2
Combine -2x and 2x to get 0.
2x^{2}+2+x^{2}-2
Add 1 and 1 to get 2.
3x^{2}+2-2
Combine 2x^{2} and x^{2} to get 3x^{2}.
3x^{2}
Subtract 2 from 2 to get 0.
x^{2}-2x+1+\left(x+1\right)^{2}+x^{2}-2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
x^{2}-2x+1+x^{2}+2x+1+x^{2}-2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
2x^{2}-2x+1+2x+1+x^{2}-2
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+1+1+x^{2}-2
Combine -2x and 2x to get 0.
2x^{2}+2+x^{2}-2
Add 1 and 1 to get 2.
3x^{2}+2-2
Combine 2x^{2} and x^{2} to get 3x^{2}.
3x^{2}
Subtract 2 from 2 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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