分解因式(1)64m^2 n^2-(m^2+16n^2)^2 (2)a^4-2a^2 b^2+b^4

问题描述:

分解因式(1)64m^2 n^2-(m^2+16n^2)^2 (2)a^4-2a^2 b^2+b^4
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(1)64m^2 n^2-(m^2+16n^2)^2 =(8mn-m²-16n²)(8mn+m²+16n²)=-(4n-m)²(4n+m)²(2)a^4-2a^2 b^2+b^4=(a²-b²)²=(a-b)²(a+b)²