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

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

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

factor

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

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

Solution steps

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

Factor

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

= 9 - (x - y)^{2}

Factor the number:

9 = 3^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

∣ 2 x - 1 ∣ \geq 5

x^{2} + 2 4^{2} = 2 5^{2}

\frac{1}{0.0001}

16 (n + 6) = 4 (24 + 4 n)

2 x^{2} - 14 x + 20

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