Question

simplify: 1+x+1-x+2sqrt(1-x^2)/(1-x)+(1-x)

Answer 1

2Sqrt(1-x^2) = 2Sqrt(1-x)(1+x)
(1-x)+(1-x) = 2 -2x = 2(1-x)
therefore now becomes...
2Sqrt(1-x)(1+x)/2(1-x) which simplifies to ...
sqrt(1+x) now add the beginning part of the original expression insimlified form ...1+x+1-x =2
answer = 2+ sqrt(1+x)

Answer 2

first line arrived at through rule of differenceof two squares.