Evaluate
3x\left(3x-1\right)\left(x+1\right)
Expand
9x^{3}+6x^{2}-3x
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\left(-9x^{2}+3x\right)\left(-x-1\right)
Use the distributive property to multiply -3x by 3x-1.
-9x^{2}\left(-x\right)+9x^{2}+3x\left(-x\right)-3x
Apply the distributive property by multiplying each term of -9x^{2}+3x by each term of -x-1.
9x^{2}x+9x^{2}+3x\left(-x\right)-3x
Multiply -9 and -1 to get 9.
9x^{3}+9x^{2}+3x\left(-x\right)-3x
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
9x^{3}+9x^{2}+3x^{2}\left(-1\right)-3x
Multiply x and x to get x^{2}.
9x^{3}+9x^{2}-3x^{2}-3x
Multiply 3 and -1 to get -3.
9x^{3}+6x^{2}-3x
Combine 9x^{2} and -3x^{2} to get 6x^{2}.
\left(-9x^{2}+3x\right)\left(-x-1\right)
Use the distributive property to multiply -3x by 3x-1.
-9x^{2}\left(-x\right)+9x^{2}+3x\left(-x\right)-3x
Apply the distributive property by multiplying each term of -9x^{2}+3x by each term of -x-1.
9x^{2}x+9x^{2}+3x\left(-x\right)-3x
Multiply -9 and -1 to get 9.
9x^{3}+9x^{2}+3x\left(-x\right)-3x
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
9x^{3}+9x^{2}+3x^{2}\left(-1\right)-3x
Multiply x and x to get x^{2}.
9x^{3}+9x^{2}-3x^{2}-3x
Multiply 3 and -1 to get -3.
9x^{3}+6x^{2}-3x
Combine 9x^{2} and -3x^{2} to get 6x^{2}.
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}