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

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

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

simplify

(1 - y + 3)^{2}

- y + 6 1 - y + 10

Solution steps

(1 - y + 3)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= - y + 6 1 - y + 10

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