Question

化简：m4?16m4+4m2+16÷m2+4m3?8×m2?2m+4m2?4m+4÷(m+2)=______

化简：m4?16m4+4m2+16÷m2+4m3?8×m2?2m+4m2?4m+4÷(m+2)=______．

Answer 1

m4?16

m4+4m2+16

÷

m2+4

m3?8

×

m2?2m+4

m2?4m+4

÷(m+2)，
=

(m2+4)( m+2)(m?2)

(m2+4)2 ?4m2

?

(m? 2 )(m2 +2m+4)

m2 +4

?

m2?2m+4

(m?2)2

?

1

m+2

，
=

(m2+2m+4)( m2?2m+4)

(m2+4+2m)(m2+4?2m)

，
=1．