Question

Factorise the following:

ax + ay + az + bx + by + bz

Answer 1

Given expression: ax + ay + az + bx + by + bz

Step-wise calculation:

1. Group terms by common factors:

(ax + ay + az) + (bx + by + bz)

2. Factor out common factors in each group:

a(x + y + z) + b(x + y + z)

3. Factor out the common binomial factor (x + y + z):

(x + y + z)(a + b)