\(E=-\dfrac{1}{2}xy^3+4xy-9\)
\(F=5xy+4-\dfrac{1}{2}xy^3=-\dfrac{1}{2}xy^3+5xy+4\)
\(E+F=-\dfrac{1}{2}xy^3+4xy-9+\left(-\dfrac{1}{2}xy^3\right)+5xy+4\)
\(=-xy^3+9xy-5\)
\(E-F=-\dfrac{1}{2}xy^3+4xy-9-\left[\left(-\dfrac{1}{2}xy^3\right)+5xy+4\right]\)
\(=-\dfrac{1}{2}xy^3+4xy-9+\dfrac{1}{2}xy^3-5xy-4\)
\(=-xy-13\)
\(F-E=-\left(E-F\right)=-\left(-xy-13\right)\)
\(=xy+13\)
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