Question

Find the LCD of the rational expressions 4h/h^2-k^2,5/h^2-2hk+k^2​

Answer 1

`h^3-h^2k-hk^2+k^3`

Explanation:

`(4h)/(h^2-k^2)=(4h(h-k))/((h-k)(h+k)(h-k))\\\\(5)/(h^2-2hk+k^2)=(5(h+k))/((h-k)^2(h+k))\\\\\text{The common denominator is ...}\\\\(h-k)^2(h+k)=\boxed{h^3-h^2k-hk^2+k^3}`