
已知x+y=a,xy=b求x^2+y^2 ,x^4+y^4
2个回答
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x^2+y^2
=(x+y)²-2xy
=a²-2b
x^4+y^4
=(x²+y²)²-2x²y²
=(a²-2b)²-2b²
=a^4-4a²b+4b²-2b²
=a^4-4a²b+2b²
=(x+y)²-2xy
=a²-2b
x^4+y^4
=(x²+y²)²-2x²y²
=(a²-2b)²-2b²
=a^4-4a²b+4b²-2b²
=a^4-4a²b+2b²
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