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Factorisation

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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)














 




































781 Views

Factorise:
12x + 36


We have    12x = 3 cross times 2 cross times 2 cross times straight x space equals space left parenthesis 2 cross times 2 cross times 3 right parenthesis cross times straight x

                   36 =space space space space 2 cross times 2 cross times 3 cross times 3 equals left parenthesis 2 cross times 2 cross times 3 right parenthesis cross times 3

∴        12x + 36 = [(2cross times2cross times3)cross timesx] + (2cross times2cross times3) cross times3

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1121 Views

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







 






 

219 Views

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





























662 Views

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]

























671 Views