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factoring of xy+x-y-1

Sagot :

Factoring x, we get:

x(y+1)-y-1

But notice that -y-1 can also be -(y+1). Therefore:

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

Using techniques from factoring, this can be converted to:
(x-1)(y+1)

I got the x-1 from the factors outside the quantity (y+1). The equation can also be seen as x(y+1)-1(y+1).
The common factor is 1. Answer?
1(xy +x -y)