Evaluate
\left(x+3\right)^{3}
Expand
x^{3}+9x^{2}+27x+27
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\left(x+3\right)^{2}\left(x+3\right)
Multiply x+3 and x+3 to get \left(x+3\right)^{2}.
\left(x+3\right)^{3}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
x^{3}+9x^{2}+27x+27
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+3\right)^{3}.
\left(x+3\right)^{2}\left(x+3\right)
Multiply x+3 and x+3 to get \left(x+3\right)^{2}.
\left(x+3\right)^{3}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
x^{3}+9x^{2}+27x+27
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+3\right)^{3}.
Examples
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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
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Limits
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