Question

E(x)= (2x 4 /(x+2)(x-2) +x la puterea 2 -2x /(x+2)(x-2)

Va rog ajutati-ma!!

Answer 1

ai uitat semnul intre 2x si 4 la inceputul expresiei
am facut 2 variante    una cu - si alta cu +

E(x)= (2x- 4) /(x+2)(x-2) +(x² -2x) /(x+2)(x-2) =
= 2(x- 2) /(x+2)(x-2) +x(x -2) /(x+2)(x-2) =
= 2/(x+2) +x /(x+2) =
=( 2+x)/(x+2) =1

sau
E(x)= (2x+ 4) /(x+2)(x-2) +(x² -2x) /(x+2)(x-2) =
= 2(x+ 2) /(x+2)(x-2) +x(x -2) /(x+2)(x-2) =
= 2/(x-2) +x /(x+2) =
=[2(x+2)+x(x-2)]/(x+2)(x-2) =
=(2x+4+x²-2x)/(x+2)(x-2) =
=(x²+4)/(x+2)(x-2)

Alegi varianta care iti trebuie.