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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

(tan (θ) - 1 + 2)^{2}

cos (x) (x - π)

- \frac{1}{6} (x - 1) (x - 2)

tan^{2} (x) - sin^{2} (x) (cot (c) o t x + tan (x))

(1 + \frac{2 i}{n})^{3}

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