Question

Rational function / Divide


Please draw steps and show answer

Answer 1

Explanation:

note :

x²-1 = (x-1)(x+1)

x²-4x-5 = (x-5)(x+1)

continu .......

Answer 2

`((2x+3)(x-1))/(2(x-5))`

Explanation:

⇒
`(4x^(2)- 9 )/(x^(2)-4x-5 )` ÷
`(4x - 6)/(x^(2) - 1)`

⇒
`(4x^(2)- 9 )/(x^(2)-4x-5 )` ×
`(x^(2)-1 )/(4x-6)`

⇒
`((2x+3)(2x-3))/((x-5)(x+1))` ×
`((x+1)(x-1))/(2(2x-3))`

⇒
`((2x+3)(x-1))/(2(x-5))` [∴ → Final Answer]