Factor
\frac{\sqrt{x}\left(81x^{\frac{5}{2}}+x^{\frac{3}{2}}+6\sqrt{2}\right)}{3}
Evaluate
27x^{3}+\frac{x^{2}}{3}+2\sqrt{2x}
Graph
Quiz
Algebra
5 problems similar to:
f ( x ) = 27 x ^ { 3 } + \frac { 1 } { 3 } x ^ { 2 } + \sqrt { 8 x }
Share
Copied to clipboard
\frac{81x^{3}+x^{2}+6\sqrt{2}\sqrt{x}}{3}
Factor out \frac{1}{3}.
\sqrt{x}\left(81x^{\frac{5}{2}}+x^{\frac{3}{2}}+6\sqrt{2}\right)
Consider 81x^{3}+x^{2}+3\sqrt{8}\sqrt{x}. Factor out \sqrt{x}.
\frac{\sqrt{x}\left(81x^{\frac{5}{2}}+x^{\frac{3}{2}}+6\sqrt{2}\right)}{3}
Rewrite the complete factored expression.
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}