Evaluate
\left(5x-9\right)\left(x+3\right)\left(x+9\right)
Expand
5x^{3}+51x^{2}+27x-243
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5x^{3}-9x^{2}+12x\left(5x-9\right)+27\left(5x-9\right)
Use the distributive property to multiply x^{2} by 5x-9.
5x^{3}-9x^{2}+60x^{2}-108x+27\left(5x-9\right)
Use the distributive property to multiply 12x by 5x-9.
5x^{3}+51x^{2}-108x+27\left(5x-9\right)
Combine -9x^{2} and 60x^{2} to get 51x^{2}.
5x^{3}+51x^{2}-108x+135x-243
Use the distributive property to multiply 27 by 5x-9.
5x^{3}+51x^{2}+27x-243
Combine -108x and 135x to get 27x.
5x^{3}-9x^{2}+12x\left(5x-9\right)+27\left(5x-9\right)
Use the distributive property to multiply x^{2} by 5x-9.
5x^{3}-9x^{2}+60x^{2}-108x+27\left(5x-9\right)
Use the distributive property to multiply 12x by 5x-9.
5x^{3}+51x^{2}-108x+27\left(5x-9\right)
Combine -9x^{2} and 60x^{2} to get 51x^{2}.
5x^{3}+51x^{2}-108x+135x-243
Use the distributive property to multiply 27 by 5x-9.
5x^{3}+51x^{2}+27x-243
Combine -108x and 135x to get 27x.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}