已知x+y=4,xy=5,求2x²+2y²+5xy的值

问题描述:

已知x+y=4,xy=5,求2x²+2y²+5xy的值
已知a+b=3,ab=-12.求(a-1)(b-1)的值;a²+b²的值;(a-b)²的值.

2x²+2y²+5xy
=2(x+y)²+xy
=2*4^2+5
=32+5
=37
(a-1)(b-1)
=ab-a-b+1
=-12-3+1
=-14
a²+b²
=(a+b)²-2ab
=3²+2*12
=33
(a-b)²
=a²+b²-2ab
=33+2*12
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