分解因式 带过程
分解因式1.9(m+n)^2+6m+6n+12.m^5n^5-2n^3m^3+mn3.16（p+q）^2-9（p-q）^2...
分解因式
1. 9(m+n)^2+6m+6n+1
2. m^5n^5-2n^3m^3+mn
3. 16（p+q）^2-9（p-q）^2 展开
1. 9(m+n)^2+6m+6n+1
2. m^5n^5-2n^3m^3+mn
3. 16（p+q）^2-9（p-q）^2 展开
展开全部
NO.1: [3(m+n)]^2+6(m+n)+1
=[3(m+n)]^2+2*[3(m+n)]*1+1^2
=(3m+3n+1)
NO.2: mn(m^4n^4-2m^2n^2+1)
=mn[(m^2n^2)^2-2*m^2n^2*1+1^2]
=mn(m^2n^2-1)
NO.3: [4(p+q)]^2-[3(p-q)]^2
=(4p+4q+3p-3q)(4p+4q-3p+3q)
=(7p-q)(p+7q)
=[3(m+n)]^2+2*[3(m+n)]*1+1^2
=(3m+3n+1)
NO.2: mn(m^4n^4-2m^2n^2+1)
=mn[(m^2n^2)^2-2*m^2n^2*1+1^2]
=mn(m^2n^2-1)
NO.3: [4(p+q)]^2-[3(p-q)]^2
=(4p+4q+3p-3q)(4p+4q-3p+3q)
=(7p-q)(p+7q)
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