What is factor (x-5)^2-2 ?

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

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factor (x-5)^2-2

factor

(x - 5)^{2} - 2

(x - 5 + 2) (x - 5 - 2)

Solution steps

(x - 5)^{2} - 2

Apply radical rule:

a = (a)^{2}

2 = (2)^{2}

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

Apply Difference of Two Squares Formula:

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

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

= ((x - 5) + 2) ((x - 5) - 2)

Refine

= (x + 2 - 5) (x - 5 - 2)

c^{4} - 2 c^{2} + c^{3} - 2 c

\frac{x - 2}{x + 3} > 0

\frac{1}{5} (1 + \frac{3}{5} - \frac{9}{10}) + [2 + 5 (\frac{2}{9} - 3)]

48

r^{2} + 9 r + 14 = 0

What is factor (x-5)^2-2 ?
The solution to factor (x-5)^2-2 is (x-5+sqrt(2))(x-5-sqrt(2))