(m-2n-p)(m-2n+p)-(m+2n+p)(m+2n+p)

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(m-2n-p)(m-2n+p)-(m+2n+p)(m+2n+p)

(m-2n-p)(m-2n+p)-(m+2n+p)(m+2n+p)
(m-2n-p)(m-2n+p)-(m+2n+p)(m+2n+p)

(m-2n-p)(m-2n+p)-(m+2n+p)(m+2n+p)
(m-2n-p)(m-2n+p)-(m+2n+p)(m+2n+p)
=[(m-2n)-p][(m-2n)+p]-[(m+2n)+p][(m+2n) +p]
=(m-2n)^2-p^2-(m+2n)^2-2(m+2n)p-p^2
=-8mn-2(m+2n)p-2p^2
=-8mn-2mp-4np-2p^2
=-2(p+m)(p+2n)-4mn

(m-2n-p)(m-2n+p)-(m+2n+p)(m+2n+p)
=(m-2n)*(m-2n)-p*p-[(m+2n)*(m+2n)+2(m+2n)*p+p*p]
=m*m+4n*n-4mn-p*p-m*m-4n*n-4mn-p*p-2(m+2n)*p
=-8mn-2(m+2n)*p