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)
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Factorise:
22y – 33z
We have                  22y = 2 × 11 × y
                               33z = 3 × 11 × z
∴                    22y - 33z = [2 × (11) × y] + [3 × (11) × z]
                                     Â
                                     = (11)[2 × y - 3 × z]
                                     = 11[2y - 3z]
Factorise:
12x + 36
We have   12x =
                  36 =
∴       12x + 36 = [(223)x] + (223) 3
                        =
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
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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