问题
选择题
已知a+b=-3,ab=2,则(a-b)2的值是( )
A.1
B.4
C.16
D.9
答案
∵a+b=-3,ab=2,
∴(a-b)2=a2+b2-2ab,
=a2+b2+2ab-4ab,
=(a+b)2-4ab,
=(-3)2-4×2,
=9-8,
=1.
故选A.
已知a+b=-3,ab=2,则(a-b)2的值是( )
A.1
B.4
C.16
D.9
∵a+b=-3,ab=2,
∴(a-b)2=a2+b2-2ab,
=a2+b2+2ab-4ab,
=(a+b)2-4ab,
=(-3)2-4×2,
=9-8,
=1.
故选A.