(m+n-p)^2-(m-n-p)^2因式分解大神们帮帮忙

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(m+n-p)^2-(m-n-p)^2因式分解大神们帮帮忙
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(m+n-p)^2-(m-n-p)^2因式分解大神们帮帮忙
(m+n-p)^2-(m-n-p)^2因式分解大神们帮帮忙

(m+n-p)^2-(m-n-p)^2因式分解大神们帮帮忙
将m-p看成一个整体

(m+n-p)^2-(m-n-p)^2 =(m+n-p+m-n-p)(m+n-p-m+n+p) =(2m-2p)*2n =4n(m-p)