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x^{2}\left(x^{2}+2x+1\right)-x^{4}-2x^{3}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
x^{4}+2x^{3}+x^{2}-x^{4}-2x^{3}
Use the distributive property to multiply x^{2} by x^{2}+2x+1.
2x^{3}+x^{2}-2x^{3}
Combine x^{4} and -x^{4} to get 0.
x^{2}
Combine 2x^{3} and -2x^{3} to get 0.
x^{2}\left(x^{2}+2x+1\right)-x^{4}-2x^{3}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
x^{4}+2x^{3}+x^{2}-x^{4}-2x^{3}
Use the distributive property to multiply x^{2} by x^{2}+2x+1.
2x^{3}+x^{2}-2x^{3}
Combine x^{4} and -x^{4} to get 0.
x^{2}
Combine 2x^{3} and -2x^{3} 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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