Question

Simplify this question
2/4x+4 - 2x/2

Answer 1

`\frac{1 - 2 {x}^(2) -2x }{ 2x + 2}`

Explanation:

`(2)/(4x + 4) - (2x)/(2)`

`= (2 * 2)/((4x + 4) * 2) - ((2x) * (4x + 4) )/(2 * (4x + 4))`

`= (4)/(8x + 8) - \frac{8 {x}^(2) + 8x }{8x + 8}`

`= \frac{4 - (8 {x}^(2) + 8x) }{8x + 8}`

`= \frac{4 - 8 {x}^(2) - 8x }{8x + 8}`

`= \frac{4 * (1 - 2 {x}^(2) -2x ) }{4 * (2x + 2)}`

`= \frac{1 - 2 {x}^(2) -2x }{ 2x + 2}`