Evaluate
2z^{3}+2xy+\frac{z}{6}
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2z^{3}+2xy+\frac{z}{6}
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2z^{3}+2yx+\frac{z}{6}
Use the distributive property to multiply 2 by z^{3}+yx.
\frac{6\left(2z^{3}+2yx\right)}{6}+\frac{z}{6}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2z^{3}+2yx times \frac{6}{6}.
\frac{6\left(2z^{3}+2yx\right)+z}{6}
Since \frac{6\left(2z^{3}+2yx\right)}{6} and \frac{z}{6} have the same denominator, add them by adding their numerators.
\frac{12z^{3}+12yx+z}{6}
Do the multiplications in 6\left(2z^{3}+2yx\right)+z.
2z^{3}+2yx+\frac{z}{6}
Use the distributive property to multiply 2 by z^{3}+yx.
\frac{6\left(2z^{3}+2yx\right)}{6}+\frac{z}{6}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2z^{3}+2yx times \frac{6}{6}.
\frac{6\left(2z^{3}+2yx\right)+z}{6}
Since \frac{6\left(2z^{3}+2yx\right)}{6} and \frac{z}{6} have the same denominator, add them by adding their numerators.
\frac{12z^{3}+12yx+z}{6}
Do the multiplications in 6\left(2z^{3}+2yx\right)+z.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
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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}