Factor
\left(5x-6b\right)\left(25x^{2}+30bx+36b^{2}\right)
Evaluate
125x^{3}-216b^{3}
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\left(5x-6b\right)\left(25x^{2}+30bx+36b^{2}\right)
Rewrite 125x^{3}-216b^{3} as \left(5x\right)^{3}-\left(6b\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
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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
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Integration
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Limits
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