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27x^{3}+a^{3}
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27x^{3}+a^{3}
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3x\left(a^{2}-3x\left(a-3x\right)\right)+9ax^{2}-3xa^{2}+a^{3}
Use the distributive property to multiply a by 9x^{2}-3ax+a^{2}.
3x\left(a^{2}-3xa+9x^{2}\right)+9ax^{2}-3xa^{2}+a^{3}
Use the distributive property to multiply -3x by a-3x.
3xa^{2}-9x^{2}a+27x^{3}+9ax^{2}-3xa^{2}+a^{3}
Use the distributive property to multiply 3x by a^{2}-3xa+9x^{2}.
3xa^{2}+27x^{3}-3xa^{2}+a^{3}
Combine -9x^{2}a and 9ax^{2} to get 0.
27x^{3}+a^{3}
Combine 3xa^{2} and -3xa^{2} to get 0.
3x\left(a^{2}-3x\left(a-3x\right)\right)+9ax^{2}-3xa^{2}+a^{3}
Use the distributive property to multiply a by 9x^{2}-3ax+a^{2}.
3x\left(a^{2}-3xa+9x^{2}\right)+9ax^{2}-3xa^{2}+a^{3}
Use the distributive property to multiply -3x by a-3x.
3xa^{2}-9x^{2}a+27x^{3}+9ax^{2}-3xa^{2}+a^{3}
Use the distributive property to multiply 3x by a^{2}-3xa+9x^{2}.
3xa^{2}+27x^{3}-3xa^{2}+a^{3}
Combine -9x^{2}a and 9ax^{2} to get 0.
27x^{3}+a^{3}
Combine 3xa^{2} and -3xa^{2} to get 0.
Examples
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{ 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}