Evaluate
18kx+\frac{2x^{2}}{3}-18k-36x+108
Expand
18kx+\frac{2x^{2}}{3}-18k-36x+108
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\frac{2}{3}x^{2}-18\left(2-k\right)x+18\left(6-k\right)
Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.
\frac{2}{3}x^{2}-18\left(2-k\right)x+108-18k
Use the distributive property to multiply 18 by 6-k.
\frac{2}{3}x^{2}+\left(-36+18k\right)x+108-18k
Use the distributive property to multiply -18 by 2-k.
\frac{2}{3}x^{2}-36x+18kx+108-18k
Use the distributive property to multiply -36+18k by x.
\frac{2}{3}x^{2}-18\left(2-k\right)x+18\left(6-k\right)
Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.
\frac{2}{3}x^{2}-18\left(2-k\right)x+108-18k
Use the distributive property to multiply 18 by 6-k.
\frac{2}{3}x^{2}+\left(-36+18k\right)x+108-18k
Use the distributive property to multiply -18 by 2-k.
\frac{2}{3}x^{2}-36x+18kx+108-18k
Use the distributive property to multiply -36+18k by x.
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}