What is (2+sqrt(4-x^2-y^2))^2 ?

The solution to (2+sqrt(4-x^2-y^2))^2 is -x^2-y^2+4sqrt(4-x^2-y^2)+8

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simplify (2+sqrt(4-x^2-y^2))^2

simplify

(2 + 4 - x^{2} - y^{2})^{2}

- x^{2} - y^{2} + 4 4 - x^{2} - y^{2} + 8

Solution steps

(2 + 4 - x^{2} - y^{2})^{2}

Apply Perfect Square Formula:

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

(2 + 4 - x^{2} - y^{2})^{2} = 2^{2} + 2 \cdot 2 4 - x^{2} - y^{2} + (4 - x^{2} - y^{2})^{2}

= 2^{2} + 2 \cdot 2 4 - x^{2} - y^{2} + (4 - x^{2} - y^{2})^{2}

Simplify

2^{2} + 2 \cdot 2 4 - x^{2} - y^{2} + (4 - x^{2} - y^{2})^{2} : - x^{2} - y^{2} + 4 4 - x^{2} - y^{2} + 8

= - x^{2} - y^{2} + 4 4 - x^{2} - y^{2} + 8

- \frac{r ( a - bk )}{b c k}

(- 4)^{3}

(x + i (- x + 2))^{2}

2 (- 1)^{2} + 2 (- 1)

(14 + tan (x)) (14 - tan (x)) + sec^{2} (x)

What is (2+sqrt(4-x^2-y^2))^2 ?
The solution to (2+sqrt(4-x^2-y^2))^2 is -x^2-y^2+4sqrt(4-x^2-y^2)+8