Multiply: (8n^(2) )/(m^(2)-16 )×(m^(2)-4m )/(6n)

Question

Multiply:

`(8n^(2) )/(m^(2)-16 )`×
`(m^(2)-4m )/(6n)`

Answer 1

9514 1404 393

Answer:

4mn/(3m+12)

Explanation:

It is often helpful to factor expressions so that common factors can cancel.

`(8n^2)/(m^2-16)*(m^2-4m)/(6n)=(8mn^2(m-4))/(6n(m-4)(m+4))=(4mn)/(3(m+4))\\\\=\boxed{(4mn)/(3m+12)}`