What is (3+sqrt(1-y^2))^2 ?

The solution to (3+sqrt(1-y^2))^2 is -y^2+6sqrt(1-y^2)+10

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simplify (3+sqrt(1-y^2))^2

simplify

(3 + 1 - y^{2})^{2}

- y^{2} + 6 1 - y^{2} + 10

Solution steps

(3 + 1 - y^{2})^{2}

Apply Perfect Square Formula:

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

(3 + 1 - y^{2})^{2} = 3^{2} + 2 \cdot 3 1 - y^{2} + (1 - y^{2})^{2}

= 3^{2} + 2 \cdot 3 1 - y^{2} + (1 - y^{2})^{2}

Simplify

3^{2} + 2 \cdot 3 1 - y^{2} + (1 - y^{2})^{2} : - y^{2} + 6 1 - y^{2} + 10

= - y^{2} + 6 1 - y^{2} + 10

(3 y^{4} + \frac{2 n}{7}) \cdot (3 y^{4} - 2 x^{2})

(- 1 + 3 i)^{25}

\frac{2}{( x ^{2} - 9 ) ^{2}}

(x + 1) ((x - 3) - 2) ((x - 3) + 2)

(- 2 x - 9 y = - 2, 5) (- 4 x - 9 y = - 23)

What is (3+sqrt(1-y^2))^2 ?
The solution to (3+sqrt(1-y^2))^2 is -y^2+6sqrt(1-y^2)+10