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Factorisation

Question
CBSEENMA8002810

Factorise the following expression:

6p - 12q


Solution

∵                    6p   = 2 × 3 × p = (2) × (3) × p = (2 × 3) × p
                      12q = 2 × 2 × 3 × q = (2) × 2 × (3) × q = (2 × 3) × 2 × q

∴               6p - 12q = (2 × 3) [(p) - (2 × q)]
                             = 6[p - 2q]