Kristy W. | Mathematics Tutor with Masters in Math and a Certified TeacherMathematics Tutor with Masters in Math a...

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If you are given 9m^3+m^2, we look at both terms (9m^3) and (m^2). Notice that both of them have an "m" so we start by factoring that out. Next we look at the exponents on both of the terms. We take out the lowest exponent. In this case the number is 2. This means that we can factor out m^2.

After we factor out the m^2, we must look at the two terms and divide both of them by m^2. When dividing exponents we just subtract the exponent number. This means that we have 9m^3 /m^2 =9 m^(3-2)=9m^1=9m. Then m^2/m^2=1 . We put these results into our answer and get m^2(9m+1) as our answer.