x的平方加y的平方怎么化简、急！ (x+y)的平方怎么化简
X\u7684\u5e73\u65b9+XY+Y\u7684\u5e73\u65b9\u600e\u4e48\u5316\u7b80\u6574\u5f0fX^2+XY+Y^2\uff0c
\u5df2\u77e5\u662f\u6700\u7b80\u6574\u5f0f\u4e86\uff0c
\u4e0d\u80fd\u5316\u7b80\u4e5f\u4e0d\u80fd\u5206\u89e3\u56e0\u5f0f\u3002
\u5176\u5b9e\u5c31\u662f\u591a\u9879\u5f0f\u76f8\u4e58\uff0c\u4f60\u53ef\u4ee5\u5148\u628a\u5e73\u65b9\u5199\u6210\u4e24\u4e2a\u62ec\u53f7\u76f8\u4e58\u7684\u5f62\u5f0f\uff0c\u7136\u540e\u5c06\u5176\u4e2d\u4e00\u4e2a\u62ec\u53f7\u91cc\u770b\u6210\u4e00\u4e2a\u6574\u4f53\uff0c\u7528\u4e58\u6cd5\u5206\u914d\u5f8b\u5c06\u76f8\u4e58\u6539\u4e3a\u76f8\u52a0\u7684\u5f62\u5f0f\uff0c\u6700\u540e\u5316\u7b80\u3002\u5177\u4f53\u505a\u6cd5\u5982\u4e0b\uff1a
(x+y)²
=(x+y)(x+y)
=x(x+y)+y(x+y)
=(x²+xy)+(xy+y²)
=x²+2xy+y²
=(x+y)²-2xy
=（根号5+根号3）²-2根号15
=5+2根号15+3-2根号15
=8
解： X+Y=√5+√3
（X+Y)²=X²+Y²+2XY=(√5+√3)²=8+2√15
2XY=2√15
X²+Y²=8
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