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

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

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

simplify

(x + 2 - 1)^{2}

x - 2 x + 2 + 3

Solution steps

(x + 2 - 1)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= x - 2 x + 2 + 3

(\frac{1}{2} p + \frac{1}{q})^{18}

(4 + 3 i)^{7}

2 (7 + 5)

d y - (y - 1)^{2} d x

(t - 2)^{2} t + 4