19.1k views
1 vote
State the restrictions then simplify

State the restrictions then simplify-example-1
User MarcGV
by
8.1k points

1 Answer

3 votes

Answer:

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)

User Akhil S
by
8.1k points

No related questions found