化简(二项式定理):(1+√x)^5+(1-√x)^5

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化简(二项式定理):(1+√x)^5+(1-√x)^5

化简(二项式定理):(1+√x)^5+(1-√x)^5
化简(二项式定理):(1+√x)^5+(1-√x)^5

化简(二项式定理):(1+√x)^5+(1-√x)^5
原式=(1+5√x+10x+10x√x+5x²+x²√x)+(1-5√x+10x-10x√x+5x²-x²√x)
=2+20x+10x²

(1+根号x)^5+(1-根号x)]^5
={(1+根号x)^5+(1-根号x)^5+2[(1+根号x)(1-根号x)]^5/2}-2[(1+根号x)(1-根号x)]^5/2
=(1+根号x-1+根号x)^10-2(1-根号x)^5
=1^10-2*(1-根号x)^5
={1+根号[2(1-根号x)]^5}{1-根号[2(1-根号x)]^5}