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

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Example 12 Find the factors of γ€–"3m" γ€—^2+ 9m + 6. γ€–"3m" γ€—^2+ 9m + 6 Taking 3 common, = 3 (π‘š^2+3π‘š+2) By middle term splitting = 3 (π‘š^2+π‘š+2π‘š+2) Both have m as common factor Both have 2 as common factor = 3 [π‘š(π‘š+1)+2(π‘š+1)] Taking (m + 1) common, = πŸ‘(π’Ž+𝟏)(π’Ž+𝟐) 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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