How do you divide and simplify #\frac { m ^ { 2} } { m - 2} \div \frac { m ^ { 2} - 3m } { m ^ { 2} - 5m + 6}#?

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Answer 1 · 2018-03-10T13:47:50

#m#

We have the problem:

#m^2/(m-2)-:(m^2-3m)/(m^2-5m+6)#

1) Reciprocate the second term, and change the sign:

#=>m^2/(m-2) * (m^2-5m+6)/(m^2-3m)#

2) Factorize the terms:

#((m)(m))/((m-2)) * ((m-3)(m-2))/((m)(m-3))#

Cancelling out:

#(cancel((m))(m))/(cancel((m-2))) * (cancel((m-3))cancel((m-2)))/(cancel((m))cancel((m-3)))#

#=m/1 * 1/1#

#=1m#

#=m#

Thus, solved.