因式分解36m^2n^2-(9m^2+n^2)^2
1个回答

36m²n²-(9m²+n²)²=(6mn-9m²-n²)(6mn+9m²+n²)

=-(9m²-6mn+n²)(6mn+9m²+n²)

=-(3m-n)²(6mn+9m²+n²)

解题思路是:题目符合a²-b²=(a-b)(a+b)的形式,要把36m²n²看成a平方的形式,

即(6mn)² ;把(9m²+n²)²看成b².这是整体思想.

给你两个练习:

(1)16x²-81

(2)2ab-a²-b²+c²