Question

化简(1+根号x)^5+(1-根号x)^5用二项式定理算

Answer 1

(1+√x)^5=1+5√x+10√x^2+10√x^3+5√x^4+√x^5

(1-√x)^5=1-5√x+10√x^2-10√x^3+5√x^4-√x^5

所以:(1+√x)^5+(1-√x)^5

=(1+√x)^5+(1-√x)^5

=2+20x+10x^2