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

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

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factor (x+3)^2-2

factor

(x + 3)^{2} - 2

(x + 3 + 2) (x + 3 - 2)

Solution steps

(x + 3)^{2} - 2

Apply radical rule:

a = (a)^{2}

2 = (2)^{2}

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

Apply Difference of Two Squares Formula:

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

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

= ((x + 3) + 2) ((x + 3) - 2)

Refine

= (x + 3 + 2) (x + 3 - 2)

10 a b^{2} - 8 ab + 15 ab - 12

(4 y^{2}) - 3

1 - sin^{2 x} (x)

f (x) = x - 5

x^{2} - 3 x

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