perform indicated operations (a^2+5)/(a^2+5a-6)- (6)/(a^2+5a-6)

[Dianna Hayward]

I'm a struggling mom who needs help with doing performed indicated operations (a^2+5)/(a^2+5a-6)- (6)/(a^2+5a-6) my answer is 4a+5a+17 can you show what i did wrong

 

[Deleted member 4993]

I need help with doing performed indicated operations (a^2+5)/(a^2+5a-6)- (6)/(a^2+5a-6) my answer is 4a+5a+17 can you show what i did wrong

For us to show you - what you did wrong, you would have to show us detailed work (not just the answer you got).

Can you factorize a^2 + 5a - 6?

 

[Deleted member 4993]

I'm a struggling mom who needs help with doing performed indicated operations (a^2+5)/(a^2+5a-6)- (6)/(a^2+5a-6) my answer is 4a+5a+17 can you show what i did wrong

Almost 24 hrs has past- so a ready for photo-copy solution (It's my on rule)

\(\displaystyle \dfrac{a^2 + 5}{a^2 + 5a - 6} - \dfrac{6}{a^2 + 5a - 6} \ \)

\(\displaystyle = \ \dfrac{a^2 + 5 - 6}{a^2 + 5a - 6}\)

\(\displaystyle = \ \dfrac{a^2 - 1}{(a - 1)(a + 6)}\)

\(\displaystyle = \ \dfrac{(a + 1)(a - 1)}{(a - 1)(a + 6)}\)

\(\displaystyle = \ \dfrac{a + 1}{a + 6}\)