Factorise:
14pq + 35pqr
We have 14pq = 2 × 7 × p × q = 2 × (7 × p × q)
35pqr = 5 × 7 × p × q × r = 5 × (7 × p × q) × r
∴ 14pq + 35 pqr = 2 × (7 × p × q) + 5 × (7 × p × q) × r
= (7 × p × q)[2 + 5 × r]
= 7pq(2+5r)
Factorise:
22y – 33z
We have 22y = 2 × 11 × y
33z = 3 × 11 × z
∴ 22y - 33z = [2 × (11) × y] + [3 × (11) × z]
= (11)[2 × y - 3 × z]
= 11[2y - 3z]
Find the common factors of the given term.
2y, 22xy
∵ 2y = 2 × y = (2 × y)
and 22xy = 2 × 11x × y = (2 × y) × 11x
∴ the common factor = 2 × y
= 2y