Evaluate
x\left(x+3y\right)
Expand
x^{2}+3xy
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\frac{2}{3}x^{2}-xy-\left(-\frac{2}{3}xy-\frac{7}{3}xy\right)-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
Combine x^{2} and -\frac{1}{3}x^{2} to get \frac{2}{3}x^{2}.
\frac{2}{3}x^{2}-xy-\left(-3xy\right)-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
Combine -\frac{2}{3}xy and -\frac{7}{3}xy to get -3xy.
\frac{2}{3}x^{2}-xy+3xy-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
The opposite of -3xy is 3xy.
\frac{2}{3}x^{2}-xy+3xy-\left(-x\right)y+\frac{1}{3}x^{2}
Combine \frac{1}{2}x^{2} and -\frac{1}{6}x^{2} to get \frac{1}{3}x^{2}.
\frac{2}{3}x^{2}+2xy-\left(-x\right)y+\frac{1}{3}x^{2}
Combine -xy and 3xy to get 2xy.
\frac{2}{3}x^{2}+2xy+xy+\frac{1}{3}x^{2}
Multiply -1 and -1 to get 1.
\frac{2}{3}x^{2}+3xy+\frac{1}{3}x^{2}
Combine 2xy and xy to get 3xy.
x^{2}+3xy
Combine \frac{2}{3}x^{2} and \frac{1}{3}x^{2} to get x^{2}.
\frac{2}{3}x^{2}-xy-\left(-\frac{2}{3}xy-\frac{7}{3}xy\right)-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
Combine x^{2} and -\frac{1}{3}x^{2} to get \frac{2}{3}x^{2}.
\frac{2}{3}x^{2}-xy-\left(-3xy\right)-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
Combine -\frac{2}{3}xy and -\frac{7}{3}xy to get -3xy.
\frac{2}{3}x^{2}-xy+3xy-\left(-x\right)y+\frac{1}{2}x^{2}-\frac{1}{6}x^{2}
The opposite of -3xy is 3xy.
\frac{2}{3}x^{2}-xy+3xy-\left(-x\right)y+\frac{1}{3}x^{2}
Combine \frac{1}{2}x^{2} and -\frac{1}{6}x^{2} to get \frac{1}{3}x^{2}.
\frac{2}{3}x^{2}+2xy-\left(-x\right)y+\frac{1}{3}x^{2}
Combine -xy and 3xy to get 2xy.
\frac{2}{3}x^{2}+2xy+xy+\frac{1}{3}x^{2}
Multiply -1 and -1 to get 1.
\frac{2}{3}x^{2}+3xy+\frac{1}{3}x^{2}
Combine 2xy and xy to get 3xy.
x^{2}+3xy
Combine \frac{2}{3}x^{2} and \frac{1}{3}x^{2} to get x^{2}.
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