4m²n²-(m²+n²)² 因式分解Thank you very much!

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4m²n²-(m²+n²)² 因式分解Thank you very much!
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4m²n²-(m²+n²)² 因式分解Thank you very much!
4m²n²-(m²+n²)² 因式分解
Thank you very much!

4m²n²-(m²+n²)² 因式分解Thank you very much!
4m²n²-(m²+n²)²
=4m²n²-(m^4+2m²n²+n^4)
=4m²n²-m^4-2m^2n^2-n^4
=-m^4+2m^2n^2-n^4
=-(m^4-2m^2n^2+n^4)
=-(m^2-n^2)^2
^2就代表平方,以此类推^4就代表4次方