Identify Common Factors: Look for common factors in the first two terms and the last two terms separately.For the first two terms, 9m3 and −18m2, the common factor is 9m2.For the last two terms, 8m and −16, the common factor is 8.
Factor Out Common Factors: Factor out the common factors from each pair of terms.9m3−18m2=9m2(m−2)8m−16=8(m−2)
Write Factored Expression: Write the expression with the factored terms.9m3−18m2+8m−16=9m2(m−2)+8(m−2)
Factor Out Binomial Factor: Factor out the common binomial factor (m−2).9m3−18m2+8m−16=(m−2)(9m2+8)