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

(x + 3)^{2} - 2

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

(4 y^{2}) - 3

1 - sin^{2 x} (x)

f (x) = x - 5

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