Simplify [1/(1 + a) + 2a/(1 - a^2) x (a^2 + 4a - 5)/(a^2 + 10a + 25)

Question

Simplify \(\bigg[\frac{1}{1+a} + \frac{2a}{1-a^2}\bigg]\times\frac{(a^2+4a-5)}{(a^2+10a+25)}\)

(a) \(\frac{-1}{a+1}\)

(b) \(\frac{1}{1-a}\)

(c) \(\frac{1}{a+5}\)

(d) \(\frac{-1}{a+5}\)

Answer 1

(d) \(\frac{-1}{a+5}\)

\(\bigg[\frac{1}{1+a} + \frac{2a}{1-a^2}\bigg]\times\frac{(a^2+4a-5)}{(a^2+10a+25)}\)