数学题(m-1)(m²+1)(m+1)-(m+1)²(m-1)²
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数学题(m-1)(m²+1)(m+1)-(m+1)²(m-1)²
(m-1)(m²+1)(m+1)-(m+1)²(m-1)²
(m-1)(m²+1)(m+1)-(m+1)²(m-1)²
(m-1)(m²+1)(m+1)-(m+1)²(m-1)²
=(m-1)(m+1)(m^2+1-m^2+1)
=2(m-1)(m+1)
=2m^2-2
再问: =(m-1)(m+1)(m^2+1-m^2+1)这一步怎么化简的
再答: 提公因式(m-1)(m+1)
(m-1)(m²+1)(m+1)-(m+1)²(m-1)²
=(m-1)(m+1)[m^2+1-(m+1)(m-1)]
=(m-1)(m+1)[m^2+1-(m^2-1)]
=(m-1)(m+1)(m^2+1-m^2+1)
=(m-1)(m+1)(m^2+1-m^2+1)
=2(m-1)(m+1)
=2m^2-2
再问: =(m-1)(m+1)(m^2+1-m^2+1)这一步怎么化简的
再答: 提公因式(m-1)(m+1)
(m-1)(m²+1)(m+1)-(m+1)²(m-1)²
=(m-1)(m+1)[m^2+1-(m+1)(m-1)]
=(m-1)(m+1)[m^2+1-(m^2-1)]
=(m-1)(m+1)(m^2+1-m^2+1)
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