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Popular >

simplify (2-sqrt(y))^2

Solution

simplify

(2 - y)^{2}

Solution

4 - 4 y + y

Solution steps

(2 - y)^{2}

Apply Perfect Square Formula:

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

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

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

2^{2} = 4

- 2 \cdot 2 y = - 4 y

(y)^{2} = y

= 4 - 4 y + y

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Frequently Asked Questions (FAQ)

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