Example 12 - Chapter 12 Class 8 Factorisation

Last updated at August 13, 2026 by

Example 12 - Find the factors of 3m^2 + 9m + 6 - Chapter 14 Class 9

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Example 12 Find the factors of ใ€–"3m" ใ€—^2+ 9m + 6. ใ€–"3m" ใ€—^2+ 9m + 6 Taking 3 common, = 3 (๐‘š^2+3๐‘š+2) By middle term splitting = 3 (๐‘š^2+๐‘š+2๐‘š+2) Both have m as common factor Both have 2 as common factor = 3 [๐‘š(๐‘š+1)+2(๐‘š+1)] Taking (m + 1) common, = ๐Ÿ‘(๐’Ž+๐Ÿ)(๐’Ž+๐Ÿ) Splitting the middle term We need to find two numbers whose Sum = 3 Product = 2 So, we write 3m = m + 2m

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