Which of the following are the factors of ax+by+bx+az+ay+bz ?
(x+y+z)(a+b)
Consider the given expression,
ax+by+bx+az+ay+bz
Rearranging the terms in the given expression, we get
=(ax+ay+az)+(bx+by+bz)
Taking a common from first three terms and b common from last three terms, we get
=a(x+y+z)+b(x+y+z)
Taking (x+y+z) common, we get
=(x+y+z)(a+b)
Therefore, the factors of ax+by+bx+az+ay+bz are (x+y+z) and (a+b).
i.e., ax+by+bx+az+ay+bz=(x+y+z)(a+b)