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)
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
Factorise:
12x + 36
We have 12x =
36 =
∴ 12x + 36 = [(223)x] + (223) 3
=
Find the common factors of the given term.
12x, 36
∵ 12x = 2 × 2 × 3 × x = (2 × 2 × 3) × x
and 36 = 2 × 2 × 3 × 3 = (2 × 2 × 3) × 3
∴ the common factor = 2 × 2 × 3
= 12