因式分解(m+n)(p+q)-(n-m)(p-q)
问题描述:
因式分解(m+n)(p+q)-(n-m)(p-q)
答
(m+n)(p+q)-(n-m)(p-q)
=mp+mq+np+nq-np+nq+mp-mq
=2mp+2nq
=2(mp+nq)
答
(m+n)(p+q)-(n-m)(p-q)
=mp+mq+np+nq-(np-nq-mp+mq)
=mp+mq+np+nq-np+nq+mp-mq
=mp+nq+nq+mp
=2mp+2nq
=2(mp+nq)