What is factor (x-3)^2-5 ?

The solution to factor (x-3)^2-5 is (x-3+sqrt(5))(x-3-sqrt(5))

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factor (x-3)^2-5

factor

(x - 3)^{2} - 5

(x - 3 + 5) (x - 3 - 5)

Solution steps

(x - 3)^{2} - 5

Apply radical rule:

a = (a)^{2}

5 = (5)^{2}

= (x - 3)^{2} - (5)^{2}

Apply Difference of Two Squares Formula:

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

(x - 3)^{2} - (5)^{2} = ((x - 3) + 5) ((x - 3) - 5)

= ((x - 3) + 5) ((x - 3) - 5)

Refine

= (x + 5 - 3) (x - 3 - 5)

[sin (2 x)]^{2}

- c^{8} e^{8} n^{4} u + 22 c^{5} u^{2}

(2 + 1) (2 - 2)

8 a x - 56 b x + a y - 7 b y

t^{3}

What is factor (x-3)^2-5 ?
The solution to factor (x-3)^2-5 is (x-3+sqrt(5))(x-3-sqrt(5))