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Factor.\newline9m318m2+8m169m^3 - 18m^2 + 8m - 16

Full solution

Q. Factor.\newline9m318m2+8m169m^3 - 18m^2 + 8m - 16
  1. Identify Common Factors: Look for common factors in the first two terms and the last two terms separately.\newlineFor the first two terms, 9m39m^3 and 18m2-18m^2, the common factor is 9m29m^2.\newlineFor the last two terms, 8m8m and 16-16, the common factor is 88.
  2. Factor Out Common Factors: Factor out the common factors from each pair of terms.\newline9m318m2=9m2(m2)9m^3 - 18m^2 = 9m^2(m - 2)\newline8m16=8(m2)8m - 16 = 8(m - 2)
  3. Write Factored Expression: Write the expression with the factored terms.\newline9m318m2+8m16=9m2(m2)+8(m2)9m^3 - 18m^2 + 8m - 16 = 9m^2(m - 2) + 8(m - 2)
  4. Factor Out Binomial Factor: Factor out the common binomial factor (m2)(m - 2).\newline9m318m2+8m16=(m2)(9m2+8)9m^3 - 18m^2 + 8m - 16 = (m - 2)(9m^2 + 8)