a-b=3 ab=2,求 a^2-b^2-6b+1的值

问题描述:

a-b=3 ab=2,求 a^2-b^2-6b+1的值

a-b=3,ab=2
a²-b²-6b+1=(a-b)(a+b)-6b+1
=3(a+b)-6b+1
=3a+3b-6b+1
=3a-3b+1
=3(a-b)+1
=3×3+1
=10