Evaluate
\frac{4x^{2}}{3}
Expand
\frac{4x^{2}}{3}
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\left(\frac{2}{3}x\sqrt{3}\right)^{2}
Divide 4x\sqrt{3} by 6 to get \frac{2}{3}x\sqrt{3}.
\left(\frac{2}{3}\right)^{2}x^{2}\left(\sqrt{3}\right)^{2}
Expand \left(\frac{2}{3}x\sqrt{3}\right)^{2}.
\frac{4}{9}x^{2}\left(\sqrt{3}\right)^{2}
Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.
\frac{4}{9}x^{2}\times 3
The square of \sqrt{3} is 3.
\frac{4}{3}x^{2}
Multiply \frac{4}{9} and 3 to get \frac{4}{3}.
\left(\frac{2}{3}x\sqrt{3}\right)^{2}
Divide 4x\sqrt{3} by 6 to get \frac{2}{3}x\sqrt{3}.
\left(\frac{2}{3}\right)^{2}x^{2}\left(\sqrt{3}\right)^{2}
Expand \left(\frac{2}{3}x\sqrt{3}\right)^{2}.
\frac{4}{9}x^{2}\left(\sqrt{3}\right)^{2}
Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.
\frac{4}{9}x^{2}\times 3
The square of \sqrt{3} is 3.
\frac{4}{3}x^{2}
Multiply \frac{4}{9} and 3 to get \frac{4}{3}.
Examples
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y = 3x + 4
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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}