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Question
Factorise:
(9) 18m2n − 27m3
(9) 18m2n − 27m3
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Solution
18m2n − 27m3
18m2n = 2 × 3 × 3 × m × m × n
27m3 = 3 × 3 × 3 × m × m × m
Here 3, 3, m and m are the common factors of the given terms.
Hence, 18m2n − 27m3 = 3 × 3 × m × m (2 × n – 3 × m)
= 9m2 (2n – 3m)
18m2n = 2 × 3 × 3 × m × m × n
27m3 = 3 × 3 × 3 × m × m × m
Here 3, 3, m and m are the common factors of the given terms.
Hence, 18m2n − 27m3 = 3 × 3 × m × m (2 × n – 3 × m)
= 9m2 (2n – 3m)
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