How do you divide #\frac { ( m - 2) ^ { 2} } { n ^ { 2} } \div \frac { 8m - 16} { 4n }#?

1 Answer
Feb 18, 2017

Answer:

#(m-2)/(2n)#

Explanation:

Remember, you can change a division problem to a multiplication problem when you reciprocate the second term:

#((m-2)^2)/n^2 -: (8m-16)/(4n) = ((m-2)^2)/n^2 * (4n)/(8m-16)#

Factor the second terms denominator: #((m-2)^2)/n^2 * (4n)/(8(m-2))#

Rearrange & Simplify: #(4n)/(8n^2) * (m-2)^2/(m-2) = (m-2)/(2n)#