Question

Factor the polynomial:
ax+ay+bx+by-cx-cy

Answer 1

(x + y)(a + b - c).

Explanation:

ax + ay + bx + by - cx - cy

= ax + bx - cx + ay + by - cy

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

(a + b - c) is common to both parts, so the factors are:

(x + y)(a + b - c).