Question

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

Answer 1

`(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)`