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

The solution to expand (xy+e^z)(x^2+y^2) is x^3y+xy^3+e^zx^2+e^zy^2

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expand (xy+e^z)(x^2+y^2)

expand

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

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

Solution steps

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

Apply FOIL method:

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

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

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

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

Simplify

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

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

(2 tan (x) + 1) (tan (x) - 2)

2 (x sin (x) + cos (x)) + C

(x^{3}) (x^{4})

\frac{1}{( x - a ) ( x - b ) ^{2}}

π (- \frac{128 2}{5} + 1282)

What is expand (xy+e^z)(x^2+y^2) ?
The solution to expand (xy+e^z)(x^2+y^2) is x^3y+xy^3+e^zx^2+e^zy^2