Question

(a/a+5-5/5-a+10a/a*a-25)*(1-5/a)

Answer 1

\(\left(\dfrac{a}{a+5}-\dfrac{5}{5-a}+\dfrac{10a}{a^2-25}\right)\left(1-\dfrac{5}{a}\right)\\ =\left(\dfrac{a\left(a-5\right)}{\left(a+5\right)\left(a-5\right)}+\dfrac{5}{a-5}+\dfrac{10a}{a^2-25}\right)\left(1-\dfrac{5}{a}\right)\\ =\dfrac{a^2-5a+5a+25+10a}{a^2-25}.\dfrac{a-5}{a}\\ =\dfrac{a^2+10a+25}{a^2-25}.\dfrac{a-5}{a}=\dfrac{\left(a+5\right)^2}{\left(a-5\right)\left(a+5\right)}.\dfrac{a-5}{a}=1+\dfrac{5}{a}\)