What is (sqrt(3)-1)^2+2(sqrt(3)-1)+5 ?

The solution to (sqrt(3)-1)^2+2(sqrt(3)-1)+5 is 7

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simplify (sqrt(3)-1)^2+2(sqrt(3)-1)+5

simplify

(3 - 1)^{2} + 2 (3 - 1) + 5

7

Solution steps

(3 - 1)^{2} + 2 (3 - 1) + 5

Expand

(3 - 1)^{2} : 4 - 23

= 4 - 23 + 2 (3 - 1) + 5

Expand

2 (3 - 1) : 23 - 2

= 4 - 23 + 23 - 2 + 5

Add similar elements:

- 23 + 23 = 0

= 4 - 2 + 5

Add the numbers:

4 - 2 + 5 = 7

= 7

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

\frac{2 5}{3}

(2 k + 1)^{4}

\frac{7}{2 x ^{2} + 18 x} - \frac{5 x}{x ^{2} + 17 x + 72}

\frac{\frac{7}{6 x}}{\frac{7}{12 x}}

What is (sqrt(3)-1)^2+2(sqrt(3)-1)+5 ?
The solution to (sqrt(3)-1)^2+2(sqrt(3)-1)+5 is 7