What is (sqrt(x+4)-1)^2 ?

The solution to (sqrt(x+4)-1)^2 is x-2sqrt(x+4)+5

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simplify (sqrt(x+4)-1)^2

simplify

(x + 4 - 1)^{2}

x - 2 x + 4 + 5

Solution steps

(x + 4 - 1)^{2}

Apply Perfect Square Formula:

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

(x + 4 - 1)^{2} = (x + 4)^{2} - 2 x + 4 \cdot 1 + 1^{2}

= (x + 4)^{2} - 2 x + 4 \cdot 1 + 1^{2}

Simplify

(x + 4)^{2} - 2 x + 4 \cdot 1 + 1^{2} : x - 2 x + 4 + 5

= x - 2 x + 4 + 5

\frac{1 - s - e ^{- s}}{s ( s ^{2} + 4 )}

(- 5, - 6) zero

0 - 10

(- 3 + 2 i)^{5}

(8 - (x - 2)^{2} + y^{2})^{2}