(5m^2+3n^2)^2-(3m^2+5n^2)^2怎么解

2025-05-01 12:43:33
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回答1:

(5m^2+3n^2)^2-(3m^2+5n^2)^2=(5m^2+3n^2+3m^2+5n^2)(5m^2+3n^2-3m^2-5n^2)=(8m^2+8n^2)(2m^2-2n^2)=8(m^2+n^2)2(m^2-n^2)=16(m^4-n^4)=16m^4-16n^4