Question

Which of the following is not a factor of a$x^2$ +b$y^2$+bxy+axy?

• A. a+b
• B. x+y
• C. ax+by
• D. Both B and C

Answer 1

The correct option is A

a+b

There are no common terms in the first and the second term.

So, first re-arrange the terms.
$a{x}^2+axy+b{y}^2+bxy$ = ax(x+y) + by(y+x) = (x + y)(ax + by)

Hence the factors are (x + y)(ax + by).