What is factor 1+xy+a(x+y)-(xy+1)-x-y ?

The solution to factor 1+xy+a(x+y)-(xy+1)-x-y is (-1+a)(x+y)

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factor 1+xy+a(x+y)-(xy+1)-x-y

factor

1 + x y + a (x + y) - (x y + 1) - x - y

(- 1 + a) (x + y)

Solution steps

1 + x y + a (x + y) - (x y + 1) - x - y

Expand

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

= 1 + x y + a x + a y - (x y + 1) - x - y

- (x y + 1) : - x y - 1

= 1 + x y + a x + a y - x y - 1 - x - y

Simplify

1 + x y + a x + a y - x y - 1 - x - y : a x - x + a y - y

= a x - x + a y - y

Factor

a x - x : x (a - 1)

Factor

a y - y : y (a - 1)

= x (a - 1) + y (a - 1)

Factor out common term

(- 1 + a)

= (- 1 + a) (x + y)

r (30 π)

sin (f (g (x)))

\infty - \infty + \infty

+ x^{2} + x y + a x + a y

e^{7} - e^{3}

What is factor 1+xy+a(x+y)-(xy+1)-x-y ?
The solution to factor 1+xy+a(x+y)-(xy+1)-x-y is (-1+a)(x+y)