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
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