What is factor (x+y)^2-4x(x+y)-2y(x+y) ?

The solution to factor (x+y)^2-4x(x+y)-2y(x+y) is -(x+y)(3x+y)

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factor (x+y)^2-4x(x+y)-2y(x+y)

factor

(x + y)^{2} - 4 x (x + y) - 2 y (x + y)

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

Solution steps

(x + y)^{2} - 4 x (x + y) - 2 y (x + y)

Factor out common term

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

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

Factor

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

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

Apply rule:

a (- b) = - ab

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

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

(2 x - 3) (x - 1)^{2} (x - 3) > 0

2 x^{2} + 20 x - 48

\frac{2}{3} + \frac{3}{8}

2 (- \frac{15}{17}) (- \frac{8}{17})

- 7 - (- 2)

What is factor (x+y)^2-4x(x+y)-2y(x+y) ?
The solution to factor (x+y)^2-4x(x+y)-2y(x+y) is -(x+y)(3x+y)