What is expand (v^2+u^2)sqrt(v^2+u^2) ?

The solution to expand (v^2+u^2)sqrt(v^2+u^2) is v^2sqrt(v^2+u^2)+u^2sqrt(v^2+u^2)

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expand (v^2+u^2)sqrt(v^2+u^2)

expand

(v^{2} + u^{2}) v^{2} + u^{2}

v^{2} v^{2} + u^{2} + u^{2} v^{2} + u^{2}

Solution steps

(v^{2} + u^{2}) v^{2} + u^{2}

= v^{2} + u^{2} (v^{2} + u^{2})

Apply the distributive law:

a (b + c) = ab + a c

v^{2} + u^{2} (v^{2} + u^{2}) = v^{2} + u^{2} v^{2} + v^{2} + u^{2} u^{2}

= v^{2} + u^{2} v^{2} + v^{2} + u^{2} u^{2}

= v^{2} v^{2} + u^{2} + u^{2} v^{2} + u^{2}

2646 (s + s^{'})^{2}

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(sin (x) + tan (x))^{2}

What is expand (v^2+u^2)sqrt(v^2+u^2) ?
The solution to expand (v^2+u^2)sqrt(v^2+u^2) is v^2sqrt(v^2+u^2)+u^2sqrt(v^2+u^2)