已知a-b=5,ab=1.5,求a^2+b^2和(a+b)^2的值

2025-06-21 06:41:34
推荐回答(2个)
回答1:

解:
a²+b²
=(a-b)²+2ab
=5²+2*1.5
=25+3
=28
(a+b)²
=a²+b²+2ab
=a²-2ab+b²+4ab
=(a-b)²+4ab
=5²+4*1.5
=25+6
=31

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回答2:

a^2+b^2
=(a-b)^2+2ab
=5^2+2*1.5
=25+3
=28

(a+b)^2
=a^2+2ab+b^2
=a^2-2ab+b^2+4ab
=(a-b)^2+4ab
=5^2+4*1.5
=25+6
=31.