若m^2+n^2=30,m^2-n^2=6,则m^4-n^4等于?
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若m^2+n^2=30,m^2-n^2=6,则m^4-n^4等于?
若m^2+n^2=30,m^2-n^2=6,则m^4-n^4等于?
若m^2+n^2=30,m^2-n^2=6,则m^4-n^4等于?
m^4-n^4
=(m^2+n^2)(m^2-n^2)
=30*6
=180
180
后者等于前两个的积,因式分解
平方和公式
m^4-n^4
=(m^2+n^2)(m^2-n^2)
=30*6
=180
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