What is (5+sqrt(16-y^2))^2 ?

The solution to (5+sqrt(16-y^2))^2 is -y^2+10sqrt(16-y^2)+41

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simplify (5+sqrt(16-y^2))^2

simplify

(5 + 16 - y^{2})^{2}

- y^{2} + 10 16 - y^{2} + 41

Solution steps

(5 + 16 - y^{2})^{2}

Apply Perfect Square Formula:

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

(5 + 16 - y^{2})^{2} = 5^{2} + 2 \cdot 5 16 - y^{2} + (16 - y^{2})^{2}

= 5^{2} + 2 \cdot 5 16 - y^{2} + (16 - y^{2})^{2}

Simplify

5^{2} + 2 \cdot 5 16 - y^{2} + (16 - y^{2})^{2} : - y^{2} + 10 16 - y^{2} + 41

= - y^{2} + 10 16 - y^{2} + 41

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e^{0.1 n} + e^{0.1 (n - 1)}

(x cos (x) + sinh (x)) cos (x)

What is (5+sqrt(16-y^2))^2 ?
The solution to (5+sqrt(16-y^2))^2 is -y^2+10sqrt(16-y^2)+41