Question

exercitiu cu E (x) va rog mult

Answer 1

E(x)=[(x-2)/(x²-4) × (5x+10)/(x-3) +1] ×(x-3)/(x+2)=
=[(x-2)/(x-2)(x+2) × 5(x+2)/(x-3) +1] ×(x-3)/(x+2)=
=[ 5/(x-3) +1] ×(x-3)/(x+2)=
=( 5+x-3)/(x-3) ×(x-3)/(x+2)=
=( 2+x)/1 × 1/(x+2)=
=(x+2)/(x+2)=1