- \frac{ 2 }{ 3 } x(6x)-5x(3x-1=
Evaluate
x\left(5-19x\right)
Expand
5x-19x^{2}
Graph
Share
Copied to clipboard
-\frac{2}{3}x^{2}\times 6-5x\left(3x-1\right)
Multiply x and x to get x^{2}.
\frac{-2\times 6}{3}x^{2}-5x\left(3x-1\right)
Express -\frac{2}{3}\times 6 as a single fraction.
\frac{-12}{3}x^{2}-5x\left(3x-1\right)
Multiply -2 and 6 to get -12.
-4x^{2}-5x\left(3x-1\right)
Divide -12 by 3 to get -4.
-4x^{2}-15x^{2}+5x
Use the distributive property to multiply -5x by 3x-1.
-19x^{2}+5x
Combine -4x^{2} and -15x^{2} to get -19x^{2}.
-\frac{2}{3}x^{2}\times 6-5x\left(3x-1\right)
Multiply x and x to get x^{2}.
\frac{-2\times 6}{3}x^{2}-5x\left(3x-1\right)
Express -\frac{2}{3}\times 6 as a single fraction.
\frac{-12}{3}x^{2}-5x\left(3x-1\right)
Multiply -2 and 6 to get -12.
-4x^{2}-5x\left(3x-1\right)
Divide -12 by 3 to get -4.
-4x^{2}-15x^{2}+5x
Use the distributive property to multiply -5x by 3x-1.
-19x^{2}+5x
Combine -4x^{2} and -15x^{2} to get -19x^{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}