history数学题目额分解因式(m²+n²)²-4m²n²

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history数学题目额分解因式(m²+n²)²-4m²n²

history数学题目额分解因式(m²+n²)²-4m²n²
history数学题目额
分解因式
(m²+n²)²-4m²n²

history数学题目额分解因式(m²+n²)²-4m²n²
(m²+n²)²-4m²n²
=(m^2+n^2+2mn)(m^2+n^2-2mn)
=(m+n)^2(m-n)^2
=(m^2-n^2)^2

(m²+n²)²-4m²n²
=m^4+n^4+2m^2n^2-4m^2n^2
=m^4+n^4-2m^2n^2
=(m²-n²)²