Question

What is the result when we simplify the expression ( 1 + 1 x ) ( 1 − 2 x + 1 ) ( 1 + 2 x − 1 ) ( 1 + 1 x ) ( 1 − 2 x + 1 ) ( 1 + 2 x − 1 ) ?

Answer 1

x+1/x

Explanation:

Answer 2

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

Explanation:

`\left(1+1\cdot \:x\right)\left(1-2x+1\right)\left(1+2x-1\right)\left(1+1\cdot \:x\right)\left(1-2x+1\right)\left(1+2x-1\right)`

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

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

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

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

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

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

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

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

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

Hope I helped you!

Success!