Question

(m的四次方+4)除以(m的三次方-2m的平方+2m)

Answer 1

原式=[m^4+4m²+4-4m²]/[m(m²-2m+2)]

=[(m²+2)²-4m²]/[m(m²-2m+2)]

=(m²+2m+2)(m²-2m+2)/[m(m²-2m+2)]

=(m²+2m+2)/m