Question

Va roooog....ambele exercitii...am nevoie urgent..DAU COROANA

Answer 1

37.
a)x²-4≠0 =>x²≠4 =>x≠{-2, 2}
(x-2)²/(x-2)(x+2) = (x-2)/(x+2)
b)x²-1≠0 =>x²≠1 =>x≠{-1, 1}
(x-2)(x-1)/(x+1)(x-1) = (x-2)/(x+1)
c)x²-2x-3≠0 =>(x+1)(x-3)≠0 =>x≠{-1, 3}
[x²(x+1)-9(x+1)]/(x+1)(x-3) = (x+1)(x-3)(x+3)/(x+1)(x-3) = x+3
d)[x²(x-1)-2(x-1)]≠0 =>(x²-2)(x-1)≠0 =>x≠{-√2, 1, √2}
[x²(x-1)+5(x-1)]/(x²-2)(x-1) = (x²+5)(x-1)/(x²-2)(x-1) = (x²+5)/(x²-2)

38.
[t(t+4)+3]/[t(t+5)+6] = (t²+4t+3)/(t²+5t+6) 
(t²+5t+6)≠0 =>(t+2)(t+3)≠0 =>t≠{-3, -2}
(t+3)(t+1)/(t+3)(t+2) = (t+1)/(t+2) = (x²+2x+1)/(x²+2x+2)