Evaluate
\frac{16x-11}{9}
Expand
\frac{16x-11}{9}
Graph
Share
Copied to clipboard
x^{3}-3x^{2}+1-\left(x^{3}-3x^{2}-\frac{16}{9}x+\frac{20}{9}\right)
Use the distributive property to multiply \frac{1}{3}x-\frac{10}{9} by 3x^{2}+x-2 and combine like terms.
x^{3}-3x^{2}+1-x^{3}+3x^{2}+\frac{16}{9}x-\frac{20}{9}
To find the opposite of x^{3}-3x^{2}-\frac{16}{9}x+\frac{20}{9}, find the opposite of each term.
-3x^{2}+1+3x^{2}+\frac{16}{9}x-\frac{20}{9}
Combine x^{3} and -x^{3} to get 0.
1+\frac{16}{9}x-\frac{20}{9}
Combine -3x^{2} and 3x^{2} to get 0.
-\frac{11}{9}+\frac{16}{9}x
Subtract \frac{20}{9} from 1 to get -\frac{11}{9}.
x^{3}-3x^{2}+1-\left(x^{3}-3x^{2}-\frac{16}{9}x+\frac{20}{9}\right)
Use the distributive property to multiply \frac{1}{3}x-\frac{10}{9} by 3x^{2}+x-2 and combine like terms.
x^{3}-3x^{2}+1-x^{3}+3x^{2}+\frac{16}{9}x-\frac{20}{9}
To find the opposite of x^{3}-3x^{2}-\frac{16}{9}x+\frac{20}{9}, find the opposite of each term.
-3x^{2}+1+3x^{2}+\frac{16}{9}x-\frac{20}{9}
Combine x^{3} and -x^{3} to get 0.
1+\frac{16}{9}x-\frac{20}{9}
Combine -3x^{2} and 3x^{2} to get 0.
-\frac{11}{9}+\frac{16}{9}x
Subtract \frac{20}{9} from 1 to get -\frac{11}{9}.
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}