Question

( a/a^2-36-1/2a+12)(2-8/a-2)

Answer 1

(a+8)/a² : (a+8)/a(a-1)=(a+8)/a² *a(a-1)/(a+8)=(a-1)/a=(-0,8-1)/(-0,8)=
=18/8=9/4=2,25

Answer 2

Let's simplify the expression step by step:

First, we need to factor the denominators of each fraction:

a^2 - 36 = (a+6)(a-6)

2a + 12 = 2(a+6)

a - 2 = (a-2)

So the expression becomes:

[(a)/(a+6)(a-6)] * [(1)/(2(a+6))] * [(2(2-a))/(2(a-2))] * [(1/(-2))]

We can simplify this expression further:

[(a)/(a+6)(a-6)] * [(1)/(a+6)] * [-(2-a)/(a-2)]

Now we can cancel out the common factors in the numerator and denominator:

[(a)/(a+6)] * [-(2-a)/(a-6)]

= -(a(2-a))/((a+6)(a-6))

= (-a^2 + 2a)/((a+6)(a-6))

So the simplified expression is (-a^2 + 2a)/((a+6)(a-6)).