What is factor (x+3)^2-7 ?

The solution to factor (x+3)^2-7 is (x+3+sqrt(7))(x+3-sqrt(7))

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factor (x+3)^2-7

factor

(x + 3)^{2} - 7

(x + 3 + 7) (x + 3 - 7)

Solution steps

(x + 3)^{2} - 7

Apply radical rule:

a = (a)^{2}

7 = (7)^{2}

= (x + 3)^{2} - (7)^{2}

Apply Difference of Two Squares Formula:

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

(x + 3)^{2} - (7)^{2} = ((x + 3) + 7) ((x + 3) - 7)

= ((x + 3) + 7) ((x + 3) - 7)

Refine

= (x + 3 + 7) (x + 3 - 7)

(x + 3)^{2} - 5

(x + 3)^{2} - 2

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

(4 y^{2}) - 3

1 - sin^{2 x} (x)

What is factor (x+3)^2-7 ?
The solution to factor (x+3)^2-7 is (x+3+sqrt(7))(x+3-sqrt(7))