9(a-b)²+12(a²-b²)+4(a+b)²因式分解

来源：学生作业帮助网编辑：作业帮时间：2024/08/05 06:48:28

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9(a-b)²+12(a²-b²)+4(a+b)²因式分解
9(a-b)²+12(a²-b²)+4(a+b)²
因式分解

9(a-b)²+12(a²-b²)+4(a+b)²因式分解
=[3(a-b)]²+2×3(a-b)×2(a+b)+[2(a+b)]²
=[3(a-b)+2(a+b)]²
=(5a-b)²

9(a-b)²+12(a²-b²)+4(a+b)²=[3(a-b)]²+2*3(a-b)*2(a+b)+[2(a+b)]²
=[3(a-b)+2(a+b)]²=（5a-b)²