因式分解(2m-n)^2-(3m +2n)^2

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因式分解(2m-n)^2-(3m +2n)^2

因式分解(2m-n)^2-(3m +2n)^2
因式分解(2m-n)^2-(3m +2n)^2

因式分解(2m-n)^2-(3m +2n)^2
(2m-n)^2-(3m +2n)^2
=[(2m-n)+(3m +2n)][(2m-n)-(3m +2n)]
=(5m+n)(-m-3n)
=-(5m+n)(m+3n)
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原式=[(2m-n)+(3m+2n)][(2m-n)-(3m+2n)]
=(5m+n)(-m-3n)
=-(5m+n)(m+3n)

(2m-n)^2-(3m +2n)^2
=(2m-n+3m+2n)(2m-n-3m-2n)
=(5m+n)(-m-3n)

(2m-n)^2-(3m+2n)^2=(2m-n+3m+2n)(2m-n-3m-2n)=(5m+n)(-m-3n),亲,够详细了吧``````求采纳

平方差公式=(2m-n+3m+2n)(2m-n-3m-2n)
= -(5m+n)(m+3n)

(2m一n)^2一(3m十2n)^2 =(2m一n十3m十2n)[2m一n一(3m十2n) =(5m十n)(一m一3n)