What is expand (x^2+y^2)ln(x^2+y^2) ?

The solution to expand (x^2+y^2)ln(x^2+y^2) is x^2ln(x^2+y^2)+y^2ln(x^2+y^2)

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expand (x^2+y^2)ln(x^2+y^2)

expand

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

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

Solution steps

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

= ln (x^{2} + y^{2}) (x^{2} + y^{2})

Apply the distributive law:

a (b + c) = ab + a c

a = ln (x^{2} + y^{2}), b = x^{2}, c = y^{2}

= ln (x^{2} + y^{2}) x^{2} + ln (x^{2} + y^{2}) y^{2}

= x^{2} ln (x^{2} + y^{2}) + y^{2} ln (x^{2} + y^{2})

(x + y) e^{3}

\frac{( x ^{2} - x + 2 ) ( x + 3 )}{x + 1}

\frac{2 ( 4 + 2 )}{7}

\frac{2 x}{( x - 5 ) ( x - 3 )}

(2 x + 3) + (2 y - 2) \frac{d y}{d x}

What is expand (x^2+y^2)ln(x^2+y^2) ?
The solution to expand (x^2+y^2)ln(x^2+y^2) is x^2ln(x^2+y^2)+y^2ln(x^2+y^2)