What is expand (x^2+y^2)(e^{xy}xy+e^{xy}) ?

The solution to expand (x^2+y^2)(e^{xy}xy+e^{xy}) is e^{xy}x^3y+e^{xy}x^2+e^{xy}xy^3+e^{xy}y^2

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expand (x^2+y^2)(e^{xy}xy+e^{xy})

expand

(x^{2} + y^{2}) (e^{x y} x y + e^{x y})

e^{x y} x^{3} y + e^{x y} x^{2} + e^{x y} x y^{3} + e^{x y} y^{2}

Solution steps

(x^{2} + y^{2}) (e^{x y} x y + e^{x y})

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = x^{2}, b = y^{2}, c = e^{x y} x y, d = e^{x y}

= x^{2} e^{x y} x y + x^{2} e^{x y} + y^{2} e^{x y} x y + y^{2} e^{x y}

= e^{x y} x^{2} x y + e^{x y} x^{2} + e^{x y} x y^{2} y + e^{x y} y^{2}

Simplify

e^{x y} x^{2} x y + e^{x y} x^{2} + e^{x y} x y^{2} y + e^{x y} y^{2} : e^{x y} x^{3} y + e^{x y} x^{2} + e^{x y} x y^{3} + e^{x y} y^{2}

= e^{x y} x^{3} y + e^{x y} x^{2} + e^{x y} x y^{3} + e^{x y} y^{2}

\frac{( ( p - 1 ) ^{2} )}{p}

\frac{64}{( s ^{2} + 1 ) ( s + 8 )}

2 (m + 2 = 22)

e^{\frac{z ( 4 t - 4 x )}{- t - t ^{2} + x + x ^{2}}}

\frac{6 x - 8}{( 3 x + 4 ) ^{2}}

What is expand (x^2+y^2)(e^{xy}xy+e^{xy}) ?
The solution to expand (x^2+y^2)(e^{xy}xy+e^{xy}) is e^{xy}x^3y+e^{xy}x^2+e^{xy}xy^3+e^{xy}y^2