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6x^{2}
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6x^{2}
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\frac{16}{3}x^{2}-\frac{7}{15}xy-\left(3x^{2}-\frac{7}{15}xy-\frac{1}{3}x^{2}\right)+3x^{2}+\frac{1}{3}x^{2}
Combine 5x^{2} and \frac{1}{3}x^{2} to get \frac{16}{3}x^{2}.
\frac{16}{3}x^{2}-\frac{7}{15}xy-\left(\frac{8}{3}x^{2}-\frac{7}{15}xy\right)+3x^{2}+\frac{1}{3}x^{2}
Combine 3x^{2} and -\frac{1}{3}x^{2} to get \frac{8}{3}x^{2}.
\frac{16}{3}x^{2}-\frac{7}{15}xy-\frac{8}{3}x^{2}+\frac{7}{15}xy+3x^{2}+\frac{1}{3}x^{2}
To find the opposite of \frac{8}{3}x^{2}-\frac{7}{15}xy, find the opposite of each term.
\frac{8}{3}x^{2}-\frac{7}{15}xy+\frac{7}{15}xy+3x^{2}+\frac{1}{3}x^{2}
Combine \frac{16}{3}x^{2} and -\frac{8}{3}x^{2} to get \frac{8}{3}x^{2}.
\frac{8}{3}x^{2}+3x^{2}+\frac{1}{3}x^{2}
Combine -\frac{7}{15}xy and \frac{7}{15}xy to get 0.
\frac{17}{3}x^{2}+\frac{1}{3}x^{2}
Combine \frac{8}{3}x^{2} and 3x^{2} to get \frac{17}{3}x^{2}.
6x^{2}
Combine \frac{17}{3}x^{2} and \frac{1}{3}x^{2} to get 6x^{2}.
\frac{16}{3}x^{2}-\frac{7}{15}xy-\left(3x^{2}-\frac{7}{15}xy-\frac{1}{3}x^{2}\right)+3x^{2}+\frac{1}{3}x^{2}
Combine 5x^{2} and \frac{1}{3}x^{2} to get \frac{16}{3}x^{2}.
\frac{16}{3}x^{2}-\frac{7}{15}xy-\left(\frac{8}{3}x^{2}-\frac{7}{15}xy\right)+3x^{2}+\frac{1}{3}x^{2}
Combine 3x^{2} and -\frac{1}{3}x^{2} to get \frac{8}{3}x^{2}.
\frac{16}{3}x^{2}-\frac{7}{15}xy-\frac{8}{3}x^{2}+\frac{7}{15}xy+3x^{2}+\frac{1}{3}x^{2}
To find the opposite of \frac{8}{3}x^{2}-\frac{7}{15}xy, find the opposite of each term.
\frac{8}{3}x^{2}-\frac{7}{15}xy+\frac{7}{15}xy+3x^{2}+\frac{1}{3}x^{2}
Combine \frac{16}{3}x^{2} and -\frac{8}{3}x^{2} to get \frac{8}{3}x^{2}.
\frac{8}{3}x^{2}+3x^{2}+\frac{1}{3}x^{2}
Combine -\frac{7}{15}xy and \frac{7}{15}xy to get 0.
\frac{17}{3}x^{2}+\frac{1}{3}x^{2}
Combine \frac{8}{3}x^{2} and 3x^{2} to get \frac{17}{3}x^{2}.
6x^{2}
Combine \frac{17}{3}x^{2} and \frac{1}{3}x^{2} to get 6x^{2}.
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