What is (sqrt(14)+sqrt(x^2+y^2+z^2))^2 ?

The solution to (sqrt(14)+sqrt(x^2+y^2+z^2))^2 is 14+2sqrt(14)sqrt(x^2+y^2+z^2)+x^2+y^2+z^2

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simplify (sqrt(14)+sqrt(x^2+y^2+z^2))^2

simplify

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

14 + 214 x^{2} + y^{2} + z^{2} + x^{2} + y^{2} + z^{2}

Solution steps

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(14 + x^{2} + y^{2} + z^{2})^{2} = (14)^{2} + 214 x^{2} + y^{2} + z^{2} + (x^{2} + y^{2} + z^{2})^{2}

= (14)^{2} + 214 x^{2} + y^{2} + z^{2} + (x^{2} + y^{2} + z^{2})^{2}

(14)^{2} = 14

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

= 14 + 214 x^{2} + y^{2} + z^{2} + x^{2} + y^{2} + z^{2}

(s + 1 + i) (s + 1 - i)

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

x (\frac{2 + x}{- 15} - \frac{x - 4}{3} = 4)

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

e^{x} (1 + e^{x})^{2}

What is (sqrt(14)+sqrt(x^2+y^2+z^2))^2 ?
The solution to (sqrt(14)+sqrt(x^2+y^2+z^2))^2 is 14+2sqrt(14)sqrt(x^2+y^2+z^2)+x^2+y^2+z^2