Evaluate
x^{2}+x+\frac{2}{9}
Expand
x^{2}+x+\frac{2}{9}
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x^{2}+x\times \frac{2}{3}+\frac{1}{3}x+\frac{1}{3}\times \frac{2}{3}
Apply the distributive property by multiplying each term of x+\frac{1}{3} by each term of x+\frac{2}{3}.
x^{2}+x+\frac{1}{3}\times \frac{2}{3}
Combine x\times \frac{2}{3} and \frac{1}{3}x to get x.
x^{2}+x+\frac{1\times 2}{3\times 3}
Multiply \frac{1}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
x^{2}+x+\frac{2}{9}
Do the multiplications in the fraction \frac{1\times 2}{3\times 3}.
x^{2}+x\times \frac{2}{3}+\frac{1}{3}x+\frac{1}{3}\times \frac{2}{3}
Apply the distributive property by multiplying each term of x+\frac{1}{3} by each term of x+\frac{2}{3}.
x^{2}+x+\frac{1}{3}\times \frac{2}{3}
Combine x\times \frac{2}{3} and \frac{1}{3}x to get x.
x^{2}+x+\frac{1\times 2}{3\times 3}
Multiply \frac{1}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
x^{2}+x+\frac{2}{9}
Do the multiplications in the fraction \frac{1\times 2}{3\times 3}.
Examples
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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}