4/x+3-5/x-1 /=per saya mohon berikan juga penjelasannya

4/(x + 3) - 5/(x - 1)
= [4(x - 1) - 5(x + 3)]/(x² + 2x - 3)
= (4x - 4 - 5x - 15)/(x² + 2x - 3)
= (- x - 19)/(x² + 2x - 3)

4/x+3 - 5/x-1 = 4 (x-1) / (x + 3)(x - 1) - 5 (x + 3)/(x-1)(x + 3)
4x - 4 / x^2+ 2x -3 - 5x - 15/x^2 + 2x - 3
4x - 5x - 4 - 15 / x^2 + 2x - 3
-x - 19 / x^2 + 2x - 3
-x - 19/ (x + 3)(x - 1)