Question

(a/(a^(2)+a-2))+(2/(a^(2)-5a+4))

Answer 1

Simplify this expression

Answer 2

if you factorise the denominators

then you have

\[\frac{a}{(a +2)(a - 1)} + \frac{2}{(a - 4)(a - 1)}\]

so the common denominator will be

(a +2)(a -1)(a -4)

so the numerator in the 1st fraction needs to me multiplied by (a -4)

the numerator in the 2nd fraction needs to be multiplied by (a + 2)

so

\[\frac{a(a -4)}{(a+2)(a -1)(a -4)} + \frac{2(a + 2)}{(a+2)(a -1)(a -4)}\]

so if you colelct like terms in the numerator and then factorise it I think there will be a common factor that can be cancelled.