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Popular >

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

Solution

factor

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

Solution

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

Solution steps

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

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

Factor out

- 1

from

- x^{2} + 9 : - (x^{2} - 9)

Factor out

- y

from

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

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

Factor out

- 1

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

Remove parentheses:

(a) = a

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

Expand

x^{2} - 9 + y (2 x + y) : x^{2} - 9 + 2 x y + y^{2}

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

Factor

x^{2} - 9 + 2 x y + y^{2} : (x + y + 3) (x + y - 3)

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

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Frequently Asked Questions (FAQ)

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