Question

What is the difference

A
B
C
D

Answer 1

D. x^2 +3x -20)/(x+3)(x-5)(x+7)

Explanation:

The given expression is
`(x)/(x^2 -2x -15)  - (4)/(x^2 + 2x - 35)`

The denominators can be factorable.

= x / (x + 3)(x -5) - 4/(x-5)(x + 7)

Here (X+3)(x -5)(x + 7) is the Least Common Divisor.

=
`(x(x+7) -4(x+5))/((x+3)(x-5)(x+7))`

= [x^2 + 7x -4x -20] / (x+3)(x-5)(X+7)

= (x^2 +3x -20)/(x+3)(x-5)(x+7)

Answer D. x^2 +3x -20)/(x+3)(x-5)(x+7)

Hope this will helpful.

Thank you.