如果ab=21,a-b=4,(a-b)2=a2-2ab+b2,那么a2+b2+2=_.
问题描述:
如果ab=21,a-b=4,(a-b)2=a2-2ab+b2,那么a2+b2+2=______.
答
因为ab=21,a-b=4,
则a2+b2+2
=(a-b)2+2ab+2
=42+21×2+2
=16+42+2
=60.
故答案为:60.