Factorisation

Question

Factorise:

14pq + 35pqr

Answer

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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