(m-n)²×(m+n)⁷
2个回答
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原式=[(m-n)^2 * (m+n)^2] * (m+n)^5
=(m^2-n^2) * (m+n)^5
=(m^2-n^2) * (m^5+5m^4*n+10m^3*n^2+10m^2*n^3+5m*n^4+n^5)
=(m^7+5m^6*n+10m^5*n^2+10m^4*n^3+5m^3*n^4+m^2*n^5)-
(m^5*n^2+5m^4*n^3+10m^3*n^4+10m^2*n^5+5m*n^6+n^7)
=m^7+5m^6*n+9m^5*n^2+5m^4*n^3-5m^3*n^4-9m^2*n^5-5m*n^6-n^7
如果只是化简的话到第二步就可以了,这个主要是5次方的公式查一下就出来了
=(m^2-n^2) * (m+n)^5
=(m^2-n^2) * (m^5+5m^4*n+10m^3*n^2+10m^2*n^3+5m*n^4+n^5)
=(m^7+5m^6*n+10m^5*n^2+10m^4*n^3+5m^3*n^4+m^2*n^5)-
(m^5*n^2+5m^4*n^3+10m^3*n^4+10m^2*n^5+5m*n^6+n^7)
=m^7+5m^6*n+9m^5*n^2+5m^4*n^3-5m^3*n^4-9m^2*n^5-5m*n^6-n^7
如果只是化简的话到第二步就可以了,这个主要是5次方的公式查一下就出来了
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