Evaluate
-3x\left(3x-1\right)
Expand
3x-9x^{2}
Graph
Quiz
Polynomial
5 problems similar to:
- \frac { 3 } { 2 } x [ - 3 ^ { 2 } x ( - \frac { 2 } { 3 } ) - 2 ]
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-\frac{3}{2}x\left(-9x\left(-\frac{2}{3}\right)-2\right)
Calculate 3 to the power of 2 and get 9.
-\frac{3}{2}x\left(\frac{-9\left(-2\right)}{3}x-2\right)
Express -9\left(-\frac{2}{3}\right) as a single fraction.
-\frac{3}{2}x\left(\frac{18}{3}x-2\right)
Multiply -9 and -2 to get 18.
-\frac{3}{2}x\left(6x-2\right)
Divide 18 by 3 to get 6.
-\frac{3}{2}x\times 6x-\frac{3}{2}x\left(-2\right)
Use the distributive property to multiply -\frac{3}{2}x by 6x-2.
-\frac{3}{2}x^{2}\times 6-\frac{3}{2}x\left(-2\right)
Multiply x and x to get x^{2}.
\frac{-3\times 6}{2}x^{2}-\frac{3}{2}x\left(-2\right)
Express -\frac{3}{2}\times 6 as a single fraction.
\frac{-18}{2}x^{2}-\frac{3}{2}x\left(-2\right)
Multiply -3 and 6 to get -18.
-9x^{2}-\frac{3}{2}x\left(-2\right)
Divide -18 by 2 to get -9.
-9x^{2}+\frac{-3\left(-2\right)}{2}x
Express -\frac{3}{2}\left(-2\right) as a single fraction.
-9x^{2}+\frac{6}{2}x
Multiply -3 and -2 to get 6.
-9x^{2}+3x
Divide 6 by 2 to get 3.
-\frac{3}{2}x\left(-9x\left(-\frac{2}{3}\right)-2\right)
Calculate 3 to the power of 2 and get 9.
-\frac{3}{2}x\left(\frac{-9\left(-2\right)}{3}x-2\right)
Express -9\left(-\frac{2}{3}\right) as a single fraction.
-\frac{3}{2}x\left(\frac{18}{3}x-2\right)
Multiply -9 and -2 to get 18.
-\frac{3}{2}x\left(6x-2\right)
Divide 18 by 3 to get 6.
-\frac{3}{2}x\times 6x-\frac{3}{2}x\left(-2\right)
Use the distributive property to multiply -\frac{3}{2}x by 6x-2.
-\frac{3}{2}x^{2}\times 6-\frac{3}{2}x\left(-2\right)
Multiply x and x to get x^{2}.
\frac{-3\times 6}{2}x^{2}-\frac{3}{2}x\left(-2\right)
Express -\frac{3}{2}\times 6 as a single fraction.
\frac{-18}{2}x^{2}-\frac{3}{2}x\left(-2\right)
Multiply -3 and 6 to get -18.
-9x^{2}-\frac{3}{2}x\left(-2\right)
Divide -18 by 2 to get -9.
-9x^{2}+\frac{-3\left(-2\right)}{2}x
Express -\frac{3}{2}\left(-2\right) as a single fraction.
-9x^{2}+\frac{6}{2}x
Multiply -3 and -2 to get 6.
-9x^{2}+3x
Divide 6 by 2 to get 3.
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}