Evaluate
-18x^{2}+19x-6
Expand
-18x^{2}+19x-6
Graph
Share
Copied to clipboard
x-6-2x^{2}+12x-2\left(8x-3\right)x
Apply the distributive property by multiplying each term of 1-2x by each term of x-6.
13x-6-2x^{2}-2\left(8x-3\right)x
Combine x and 12x to get 13x.
13x-6-2x^{2}+\left(-16x+6\right)x
Use the distributive property to multiply -2 by 8x-3.
13x-6-2x^{2}-16x^{2}+6x
Use the distributive property to multiply -16x+6 by x.
13x-6-18x^{2}+6x
Combine -2x^{2} and -16x^{2} to get -18x^{2}.
19x-6-18x^{2}
Combine 13x and 6x to get 19x.
x-6-2x^{2}+12x-2\left(8x-3\right)x
Apply the distributive property by multiplying each term of 1-2x by each term of x-6.
13x-6-2x^{2}-2\left(8x-3\right)x
Combine x and 12x to get 13x.
13x-6-2x^{2}+\left(-16x+6\right)x
Use the distributive property to multiply -2 by 8x-3.
13x-6-2x^{2}-16x^{2}+6x
Use the distributive property to multiply -16x+6 by x.
13x-6-18x^{2}+6x
Combine -2x^{2} and -16x^{2} to get -18x^{2}.
19x-6-18x^{2}
Combine 13x and 6x to get 19x.
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}