Question

[Mina Anh]

giúp em với ạ em đang cần gấp lắm ạ

Answer 1

[Nguyễn Lê Phước Thịnh]

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

b: Ta có: \(x^2-2x=0\)

=>x=2

Thay x=2 vào A, ta được:

\(A=\dfrac{2+2}{2+1}=\dfrac{4}{3}\)

Answer 2

[Đỗ Tuệ Lâm]

(a)

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

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

(b)

\(x^2-2x=0\\ x\left(x-2\right)=0\)

=>x=0 hoặc x=2 mà đk x khác 0 nên thay x=2 vào bt A , ta có:

\(\dfrac{x+1}{x}=\dfrac{2+1}{2}=\dfrac{3}{2}\)