Evaluate
\frac{xy}{18}+\frac{x^{2}}{8}+y^{2}
Expand
\frac{xy}{18}+\frac{x^{2}}{8}+y^{2}
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\frac{1}{4}x^{2}+\frac{1}{6}xy+\frac{5}{2}y^{2}-\frac{1}{8}x^{2}-\frac{1}{9}xy-\frac{3}{2}y^{2}
To find the opposite of \frac{1}{8}x^{2}+\frac{1}{9}xy+\frac{3}{2}y^{2}, find the opposite of each term.
\frac{1}{8}x^{2}+\frac{1}{6}xy+\frac{5}{2}y^{2}-\frac{1}{9}xy-\frac{3}{2}y^{2}
Combine \frac{1}{4}x^{2} and -\frac{1}{8}x^{2} to get \frac{1}{8}x^{2}.
\frac{1}{8}x^{2}+\frac{1}{18}xy+\frac{5}{2}y^{2}-\frac{3}{2}y^{2}
Combine \frac{1}{6}xy and -\frac{1}{9}xy to get \frac{1}{18}xy.
\frac{1}{8}x^{2}+\frac{1}{18}xy+y^{2}
Combine \frac{5}{2}y^{2} and -\frac{3}{2}y^{2} to get y^{2}.
\frac{1}{4}x^{2}+\frac{1}{6}xy+\frac{5}{2}y^{2}-\frac{1}{8}x^{2}-\frac{1}{9}xy-\frac{3}{2}y^{2}
To find the opposite of \frac{1}{8}x^{2}+\frac{1}{9}xy+\frac{3}{2}y^{2}, find the opposite of each term.
\frac{1}{8}x^{2}+\frac{1}{6}xy+\frac{5}{2}y^{2}-\frac{1}{9}xy-\frac{3}{2}y^{2}
Combine \frac{1}{4}x^{2} and -\frac{1}{8}x^{2} to get \frac{1}{8}x^{2}.
\frac{1}{8}x^{2}+\frac{1}{18}xy+\frac{5}{2}y^{2}-\frac{3}{2}y^{2}
Combine \frac{1}{6}xy and -\frac{1}{9}xy to get \frac{1}{18}xy.
\frac{1}{8}x^{2}+\frac{1}{18}xy+y^{2}
Combine \frac{5}{2}y^{2} and -\frac{3}{2}y^{2} to get y^{2}.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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