Question

2(a-3)÷(a-4)(a-5)+a-1÷(3-a)(a-4)+a-2÷(5-a)(a-3) simplify.​

Answer 1

I'm almost confident that I did this wrong, but i tried...

Answer:

4a-9 ÷ -19

Step-by-step explanation:

(It was easier for me to put it in fractions)

$\frac{2(a-3)}{(a-4)(a-5)}$ + $\frac{a-1}{(3-a)(a-4)}$ + $\frac{a-2}{(5-a)(a-3)}$        (3-a) (a-4) + (5-a) (a-3)

$\frac{2a-6}{(a-4)(a-5)}$ + $\frac{a-1}{(3-a)(a-4)}$ +  $\frac{a-2}{(5-a)(a-3)}$      3 - a · a - 4 + 5 - a · a - 3

    $\frac{2a-6}{(2a-20)}$ + $\frac{a-1}{(3-a)(a-4)}$ + $\frac{a-2}{(5-a)(a-3)}$               3 - a + 1 - a - 3

   $\frac{2a-6+a-1+a-2}{(2a-20)+(3-a)(a-4)+(5-a)(a-3)}$                        1 - a - a

                 $\frac{4a-9}{2a-20+1-2a}$                                       1 - 2a

                   $\frac{4a-9}{2a-19-2a}$

                      $\frac{4a-9}{-19}$