Question

thực hiện phép tính ; (x/x+1+1):(1-3x²/1-x²)

taoans 8 ạ ,,,do mik k viết dc phân số nên dùng /

Answer 1

\(\left(\dfrac{x}{x+1}+1\right):\left(1-\dfrac{3x^2}{1-x^2}\right)\)

\(=\dfrac{2x+1}{x+1}:\dfrac{\left(1-2x\right)\left(1+2x\right)}{\left(1-x\right)\left(1+x\right)}\)

\(=\dfrac{2x+1}{x+1}\times\dfrac{\left(1-x\right)\left(1+x\right)}{\left(1-2x\right)\left(1+2x\right)}\)

\(=\dfrac{1-x}{1-2x}\)