Factor
2\left(5a-3b^{3}\right)\left(25a^{2}+15ab^{3}+9b^{6}\right)
Evaluate
250a^{3}-54b^{9}
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2\left(125a^{3}-27b^{9}\right)
Factor out 2.
\left(5a-3b^{3}\right)\left(25a^{2}+15ab^{3}+9b^{6}\right)
Consider 125a^{3}-27b^{9}. Rewrite 125a^{3}-27b^{9} as \left(5a\right)^{3}-\left(3b^{3}\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).
2\left(5a-3b^{3}\right)\left(25a^{2}+15ab^{3}+9b^{6}\right)
Rewrite the complete factored expression.
Examples
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y = 3x + 4
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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
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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