Factor
\left(a^{4}-3b\right)\left(a^{8}+9b^{2}+3ba^{4}\right)
Evaluate
a^{12}-27b^{3}
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\left(a^{4}-3b\right)\left(a^{8}+9b^{2}+3ba^{4}\right)
Rewrite a^{12}-27b^{3} as \left(a^{4}\right)^{3}-\left(3b\right)^{3}. The difference of cubes can be factored using the rule: p^{3}-q^{3}=\left(p-q\right)\left(p^{2}+pq+q^{2}\right).
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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
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Integration
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Limits
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