已知x+y=17,xy=60,求x^2+y^2及(x-y)^2的值要过程,谢谢

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已知x+y=17,xy=60,求x^2+y^2及(x-y)^2的值要过程,谢谢已知x+y=17,xy=60,求x^2+y^2及(x-y)^2的值要过程,谢谢已知x+y=17,xy=60,求x^2+y^

已知x+y=17,xy=60,求x^2+y^2及(x-y)^2的值要过程,谢谢
已知x+y=17,xy=60,求x^2+y^2及(x-y)^2的值
要过程,谢谢

已知x+y=17,xy=60,求x^2+y^2及(x-y)^2的值要过程,谢谢
x^2+y^2
=x²+2xy+y²-2xy
=（x+y）²-2xy
=17²-2×60
=289-120
=169
（x-y）²
=x²-2xy+y²
=169-2×60
=49

x=12 y=5 那么原式=144+25+49=218

（X+Y）*2=X*2+Y*+2XY……
X*2+Y*2=（X+Y）*2-2XY﹉
(X-Y)*2=(X+Y)*2-4XY

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