Question

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

Answer 1

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

Answer 2

\(a(x+y)-(x+y)^2\)
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:
\((x + y)(a - x - y)\)

Answer 3

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