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

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

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

factor

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

(x + y) (a - x - y)

Solution steps

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

Factor out common term

(x + y) : (x + y) (a - (x + y))

= (x + y) (a - (x + y))

Expand

a - (x + y) : a - x - y

= (x + y) (a - x - y)

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