(2m+3n)^2×(3n-2m)^2求计算_数学解答

(2m+3n)^2×(3n-2m)^2求计算

人气：447 ℃　时间：2020-03-07 14:48:04

解答

(2m+3n)²(2m-3n)²
=[(2m+3n)(2m-3n)]²
=[(2m)²-(3n)²]²
=(4m²-9n²)²
=(4m²)²-2×4m²×9n²+(9n²)²
=16m^4-72m²n²+81n^4