Question

rút gọn biểu thức
B=(x+1)^2-2(2x-1)(1+x)+4x^2-4x+1

Answer 1

`@` `\text {Ans}`

`\downarrow`

\(B=(x+1)^2-2(2x-1)(1+x)+4x^2-4x+1\)

`= x^2 + 2x + 1 - 2(2x^2 + x - 1) + 4x^2 - 4x + 1`

`= 5x^2 - 2x + 2 - 4x^2 - 2x + 2`

`= x^2 - 4x + 4`

Answer 2

\(B=\left(x+1\right)^2-2\left(2x-1\right)\left(1+x\right)+4x^2-4x+1\)

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

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

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

Answer 3