Factor completely.
ax - ay + x^2 - xy
please show me how to factor this problem
a(x-y) + x(x-y) = (a+x)(x-y)
To factor the expression ax - ay + x^2 - xy, we can look for common terms that can be factored out.
First, let's group the terms in pairs: (ax - ay) + (x^2 - xy).
Now, we can factor out the common terms from each pair.
From the first pair (ax - ay), we can factor out an 'a': a(x - y).
From the second pair (x^2 - xy), we can factor out an 'x': x(x - y).
So, now we have: a(x - y) + x(x - y).
Since both terms have a common factor of (x - y), we can factor it out.
Therefore, the factored expression is: (a + x)(x - y).