Question

Simplify:
1/(a-3) (a-4) + 1/(a-4) (a-5) + 1(a-5) (a-3)​

Answer 1

Explanation:

LCM = (a -3)(a-4)(a-5)

`(1)/((a-3)(a-4))+(1)/((a-4)(a-5))+(1)/((a-5)(a-3))\\\\\\ = (1*(a-5))/((a-3)(a-4)(a-5))+(1*(a-3))/((a-4)(a-5)(a-3))+(1*(a-4))/((a-5)(a-3)(a-4))\\\\\\=(a-5+a-3+a-4)/((a-4)(a-3)(a-5))\\\\\\=(3a - 12)/((a-3)(a-4)(a-5))\\\\\\=(3(a-4))/((a-3)(a-4)(a-5))\\\\\\=(3)/((a-3)(a-5))`