What is (sqrt(x^2+y^2))^3 ?

The solution to (sqrt(x^2+y^2))^3 is (x^2+y^2)sqrt(x^2+y^2)

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simplify (sqrt(x^2+y^2))^3

simplify

(x^{2} + y^{2})^{3}

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

Solution steps

(x^{2} + y^{2})^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x^{2} + y^{2})^{2 + 1} = (x^{2} + y^{2})^{2} x^{2} + y^{2}

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

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

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

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

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

(18 x^{3} y^{2} z^{5}) (6 x^{3} y z^{2})

e^{- 60}

(10 x^{5}) (4 x^{3})

e^{- 2 l n (x + 1)}

(7)^{4}

What is (sqrt(x^2+y^2))^3 ?
The solution to (sqrt(x^2+y^2))^3 is (x^2+y^2)sqrt(x^2+y^2)