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Popular >

simplify (2-sqrt(x))^2

Solution

simplify

(2 - x)^{2}

Solution

4 - 4 x + x

Solution steps

(2 - x)^{2}

Apply Perfect Square Formula:

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

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

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

2^{2} = 4

- 2 \cdot 2 x = - 4 x

(x)^{2} = x

= 4 - 4 x + x

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Frequently Asked Questions (FAQ)

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