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6x+2
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6x+2
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1+3\sqrt{x}+3\left(\sqrt{x}\right)^{2}+\left(\sqrt{x}\right)^{3}+\left(1-\sqrt{x}\right)^{3}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(1+\sqrt{x}\right)^{3}.
1+3\sqrt{x}+3x+\left(\sqrt{x}\right)^{3}+\left(1-\sqrt{x}\right)^{3}
Calculate \sqrt{x} to the power of 2 and get x.
1+3\sqrt{x}+3x+\left(\sqrt{x}\right)^{3}+1-3\sqrt{x}+3\left(\sqrt{x}\right)^{2}-\left(\sqrt{x}\right)^{3}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(1-\sqrt{x}\right)^{3}.
1+3\sqrt{x}+3x+\left(\sqrt{x}\right)^{3}+1-3\sqrt{x}+3x-\left(\sqrt{x}\right)^{3}
Calculate \sqrt{x} to the power of 2 and get x.
2+3\sqrt{x}+3x+\left(\sqrt{x}\right)^{3}-3\sqrt{x}+3x-\left(\sqrt{x}\right)^{3}
Add 1 and 1 to get 2.
2+3x+\left(\sqrt{x}\right)^{3}+3x-\left(\sqrt{x}\right)^{3}
Combine 3\sqrt{x} and -3\sqrt{x} to get 0.
2+6x+\left(\sqrt{x}\right)^{3}-\left(\sqrt{x}\right)^{3}
Combine 3x and 3x to get 6x.
2+6x
Combine \left(\sqrt{x}\right)^{3} and -\left(\sqrt{x}\right)^{3} to get 0.
1+3\sqrt{x}+3\left(\sqrt{x}\right)^{2}+\left(\sqrt{x}\right)^{3}+\left(1-\sqrt{x}\right)^{3}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(1+\sqrt{x}\right)^{3}.
1+3\sqrt{x}+3x+\left(\sqrt{x}\right)^{3}+\left(1-\sqrt{x}\right)^{3}
Calculate \sqrt{x} to the power of 2 and get x.
1+3\sqrt{x}+3x+\left(\sqrt{x}\right)^{3}+1-3\sqrt{x}+3\left(\sqrt{x}\right)^{2}-\left(\sqrt{x}\right)^{3}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(1-\sqrt{x}\right)^{3}.
1+3\sqrt{x}+3x+\left(\sqrt{x}\right)^{3}+1-3\sqrt{x}+3x-\left(\sqrt{x}\right)^{3}
Calculate \sqrt{x} to the power of 2 and get x.
2+3\sqrt{x}+3x+\left(\sqrt{x}\right)^{3}-3\sqrt{x}+3x-\left(\sqrt{x}\right)^{3}
Add 1 and 1 to get 2.
2+3x+\left(\sqrt{x}\right)^{3}+3x-\left(\sqrt{x}\right)^{3}
Combine 3\sqrt{x} and -3\sqrt{x} to get 0.
2+6x+\left(\sqrt{x}\right)^{3}-\left(\sqrt{x}\right)^{3}
Combine 3x and 3x to get 6x.
2+6x
Combine \left(\sqrt{x}\right)^{3} and -\left(\sqrt{x}\right)^{3} to get 0.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}