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

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

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

simplify

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

(y - 2 y + 1) (2 + 1)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= (y - 2 y + 1) (2 + 1)

(x + \frac{1}{3}) \cdot (x - \frac{1}{3})

a (2 + cos (2 θ))^{2}

(x + 2) (x - 1) (x - (4 + i)) (x - (4 - i))

(2 x + \frac{1}{x})^{4}

(a, b) (b, - a)

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