What is (3-sqrt(x-1))^2 ?

The solution to (3-sqrt(x-1))^2 is x-6sqrt(x-1)+8

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simplify (3-sqrt(x-1))^2

simplify

(3 - x - 1)^{2}

x - 6 x - 1 + 8

Solution steps

(3 - x - 1)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

3^{2} - 2 \cdot 3 x - 1 + (x - 1)^{2} : x - 6 x - 1 + 8

= x - 6 x - 1 + 8

(a^{2} + a - 1)^{5}

(x^{2} - 9) e^{x}

f (1, - 4)

cos (x^{2} + 2 x y + y^{2}) (2 x + 2 y) (x + y)

2 (\frac{9}{e ^{4}} + \frac{9}{e ^{16}} + \frac{9}{e ^{36}})