What is (1+sqrt(x-5))^2 ?

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

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simplify (1+sqrt(x-5))^2

simplify

(1 + x - 5)^{2}

x + 2 x - 5 - 4

Solution steps

(1 + x - 5)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= x + 2 x - 5 - 4

(3 x - 2)^{3} 4 x + 1

7 (5 + 6)

(P + \frac{a}{V ^{2}}) (V - b)

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

- 80 (\frac{3}{5} x + \frac{4}{5} y)