# How do you simplify #(3m^2 + 9m + 6) / (4m^2 + 12m + 8)#?

with exclusions

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To simplify the expression (3m^2 + 9m + 6) / (4m^2 + 12m + 8), we can factor both the numerator and denominator.

The numerator can be factored as 3(m^2 + 3m + 2), and the denominator can be factored as 4(m^2 + 3m + 2).

Now, we can cancel out the common factor of (m^2 + 3m + 2) in both the numerator and denominator.

This leaves us with the simplified expression of 3/4.

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