Factor
3\left(x+3y\right)\left(-x^{2}+3xy-9y^{2}\right)
Evaluate
-3x^{3}-81y^{3}
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3\left(-x^{3}-27y^{3}\right)
Factor out 3.
\left(x+3y\right)\left(-x^{2}+3xy-9y^{2}\right)
Consider -x^{3}-27y^{3}. Consider -x^{3}-27y^{3} as a polynomial over variable x. Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power -x^{3} and n divides the constant factor -27y^{3}. One such factor is x+3y. Factor the polynomial by dividing it by this factor.
3\left(x+3y\right)\left(-x^{2}+3xy-9y^{2}\right)
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\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
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Limits
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