Question

State the restrictions then simplify

Answer 1

Restrictions:

x ≠ -1/5; x ≠ 1

Answer:

`(5x - 9)/(x - 1)`

Explanation:

`(25x^2 - 40x - 9)/(5x^2 - 4x - 1) =`

`= (25x^2 - 45x + 5x - 9)/(5x^2 - 5x + x - 1)`

`= (5x(5x - 9) + 1(5x - 9))/(5x(x - 1) + 1(x - 1))`

`= ((5x + 1)(5x - 9))/((5x + 1)(x - 1))`

`= (5x - 9)/(x - 1)`

5x + 1 = 0

x = -1/5

x - 1 = 0

x = 1

Restrictions:

x ≠ -1/5; x ≠ 1

Answer:

`(5x - 9)/(x - 1)`