Factor
\left(ba^{6}-3c\right)\left(b^{2}a^{12}+3bca^{6}+9c^{2}\right)
Evaluate
b^{3}a^{18}-27c^{3}
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\left(ba^{6}-3c\right)\left(b^{2}a^{12}+3bca^{6}+9c^{2}\right)
Rewrite a^{18}b^{3}-27c^{3} as \left(ba^{6}\right)^{3}-\left(3c\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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Matrix
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Simultaneous equation
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Integration
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Limits
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