36m^2n^2-(9m^2+n^2)^2因式分解
问题描述:
36m^2n^2-(9m^2+n^2)^2因式分解
答
原式=(6mn)^2-(9m^2+n^2)^2 =(6mn+9m^2+n^2)(6mn-9m^2-n^2) =-(9m^2+6mn+n^2)(9m^2-6mn+n^2) =-(3m+n)^2(3m-n)^2
36m^2n^2-(9m^2+n^2)^2因式分解
原式=(6mn)^2-(9m^2+n^2)^2 =(6mn+9m^2+n^2)(6mn-9m^2-n^2) =-(9m^2+6mn+n^2)(9m^2-6mn+n^2) =-(3m+n)^2(3m-n)^2