Question

solve this by rationalising .​

Answer 1

Answer:

$\frac{7}{x - 5} + \frac{8}{x - 3}$

$= \frac{7(x - 3) + 8(x - 5)}{(x - 5)(x - 3)}$

$= \frac{7x - 21 + 8x - 40}{ {x}^{2} - 3x - 5x + 15}$

$= \frac{15x - 61}{ {x}^{2} - 8x + 15 }$