Factorising problem? with two "squared" brackets
So here is my math problem - I think it was supposed to be just straightforward factorising, but since it isn't a generic quadratic equation (or maybe it is haha, I can't tell if it is, in this form!) I can't work out how to factorise right down to the answer the book says. Here is the problem.
Factorise the expression (x - 3)2 - (y - 2)2
The answer is apparently: (x + y - 5)(x - y - 1)
but the only thing I could work out how to do was: (x - 3)(x - 3) - (y - 2)(y - 2)
Please explain how one would reach the correct answer?
Re: Factorising problem? with two "squared" brackets
Hint: use the difference of squares formula: