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已知(x+y)²=25,(x-y)²=9,求xy与x²+y²的值
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你好,zhutong7501
xy
=[(x+y)²-(x-y)²]÷4
=(25-9)÷4
=16÷4
=4
x²+y²
=[(x+y)²+(x-y)²]÷2
=(25+9)÷2
=34÷2
=17
xy
=[(x+y)²-(x-y)²]÷4
=(25-9)÷4
=16÷4
=4
x²+y²
=[(x+y)²+(x-y)²]÷2
=(25+9)÷2
=34÷2
=17
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