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

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

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

simplify

(2 + 2 x - 5)^{2}

2 x + 4 2 x - 5 - 1

Solution steps

(2 + 2 x - 5)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 2 x + 4 2 x - 5 - 1

\frac{1}{x ^{3}} (\frac{1}{x ^{2}} - 2 x)^{9}

(2 + 2) (3 - 3)

x (250 - \frac{x}{20})

v (- 2, - 2) f (- 2, 1)