Evaluate
\frac{39y^{2}}{4}-\frac{35x^{2}}{12}
Expand
\frac{39y^{2}}{4}-\frac{35x^{2}}{12}
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\frac{1}{4}xy-3x^{2}+10y^{2}-\frac{1}{4}xy+\frac{1}{12}x^{2}-\frac{1}{4}y^{2}
Use the distributive property to multiply -\frac{1}{4} by xy-\frac{1}{3}x^{2}+y^{2}.
-3x^{2}+10y^{2}+\frac{1}{12}x^{2}-\frac{1}{4}y^{2}
Combine \frac{1}{4}xy and -\frac{1}{4}xy to get 0.
-\frac{35}{12}x^{2}+10y^{2}-\frac{1}{4}y^{2}
Combine -3x^{2} and \frac{1}{12}x^{2} to get -\frac{35}{12}x^{2}.
-\frac{35}{12}x^{2}+\frac{39}{4}y^{2}
Combine 10y^{2} and -\frac{1}{4}y^{2} to get \frac{39}{4}y^{2}.
\frac{1}{4}xy-3x^{2}+10y^{2}-\frac{1}{4}xy+\frac{1}{12}x^{2}-\frac{1}{4}y^{2}
Use the distributive property to multiply -\frac{1}{4} by xy-\frac{1}{3}x^{2}+y^{2}.
-3x^{2}+10y^{2}+\frac{1}{12}x^{2}-\frac{1}{4}y^{2}
Combine \frac{1}{4}xy and -\frac{1}{4}xy to get 0.
-\frac{35}{12}x^{2}+10y^{2}-\frac{1}{4}y^{2}
Combine -3x^{2} and \frac{1}{12}x^{2} to get -\frac{35}{12}x^{2}.
-\frac{35}{12}x^{2}+\frac{39}{4}y^{2}
Combine 10y^{2} and -\frac{1}{4}y^{2} to get \frac{39}{4}y^{2}.
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