若am-an-bn+bm=20,a+b=5,求m-n的值

问题描述:

若am-an-bn+bm=20,a+b=5,求m-n的值

am-an-bn+bm=20
a(m-n)+b(m-n)=20
(m-n)*(a+b)=20
a+b=5,m-n=4

am-an-bn+bm=20
a(m-n)+b(m-n)=20
(a+b)(m-n)=20
a+b=5
所以m-n=20÷5=4