What is factor x^2+6x+9-y^2 ?

The solution to factor x^2+6x+9-y^2 is (x+3+y)(x+3-y)

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factor x^2+6x+9-y^2

factor

x^{2} + 6 x + 9 - y^{2}

(x + 3 + y) (x + 3 - y)

Solution steps

x^{2} + 6 x + 9 - y^{2}

Factor

x^{2} + 6 x + 9 : (x + 3)^{2}

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

Apply Difference of Two Squares Formula:

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

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

= ((x + 3) + y) ((x + 3) - y)

Apply rule:

(a) = a

(x + 3) = x + 3

= (x + 3 + y) (x + 3 - y)

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What is factor x^2+6x+9-y^2 ?
The solution to factor x^2+6x+9-y^2 is (x+3+y)(x+3-y)