Question

Se considera expresia E(x)= ($\frac{x-2}{x^{2}-4 }$ * $\frac{5x+10}{x-3} }$ + 1 ) * $\frac{x-3}{x+2}$

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) =
=(x+2)/(x-3) ×(x-3)/(x+2) =1