m^2+4mn+3n^2的因式分解?

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m^2+4mn+3n^2的因式分解?
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m^2+4mn+3n^2的因式分解?
m^2+4mn+3n^2的因式分解?

m^2+4mn+3n^2的因式分解?
m^2+4mn+3n^2=(m+3n)(m+n)

会十字相乘法吧:
m n
m 3n
m^2+4mn+3n^2
=(m+n)(m+3n)
分组法
m²+4mn+3n²
=m²+mn+3mn+3n²
=m(m+n)+3n(m+n)
=(m+n)(m+3n)

(m+3n)(m+n)

(m+2n)-n方

=m^2+4mn+3n^2+n^2-n^2
=(m+2n)^2-n^2
=(m+n)(m+3n)