how do you factor a(x+y)-(x+y)^2 (please explain how to do it. thankyou)

Question

anonymous · Answer

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

mathstudent55 · Answer

$a(x+y)-(x+y)^2$
Think of x + y as being just z; let z = x + y, then you have
$az - z^2$
With the expression with z, it's easy to see that the common factor is z, so you factor out a factor of z:
$z(a - z)$
Now you can substitute back x + y for z, giving you:
$(x + y)[a - (x + y)]$
Now you can simplify the second term, giving you:
$(x + y)(a - x - y)$

anonymous · Answer

Thanks :) It took me a month to go online again, but thanks :DD