URGENT Écrire sous forme d'un quotient les expressions algébrique. F=X+1/X(1 sur x) G=5/X+4 - 1/X-3 H=X+4 - X-3/X-1

F=X+1/X
F=X*X/X+1/X
F=(X^2+1)/X

G=5/(X+4)-1/(X-3)
G=5(X-3)/[(X+4)(X-3)]-1(X+4)/[(X+4)(X-3)]
G=(5X-15-X-4)/[(X+4)(X-3)]
G=(4X-19)/[(X+4)(X-3)]

H=X+4-(X-3)/(X-1)
H=X(X-1)/(X-1)+4(X-1)/(X-1)-(X-3)/(X-1)
H=(X^2-X+4X-4-X+3)/(X-1)
H=(X^2+2X-1)/(X-1)

F = x + 1/x
= x*x/x + 1/x
= (x^2+1)/x

G = 5/(x+4)-1/(x-3)
= 5(x-3)/ [(x+4)(x-3)] - 1(x+4)/ [(x+4)(x-3)]
= (5x-15-x-4)/ [(x+4)(x-3)]
= (4x-19)/ [(x+4)(x-3)]

H = x+4-(x-3)/(x-1)
= x(x-1)/(x-1)+4(x-1)/ (x-1)-(x-3)/(x-1)
= (x^2-x+4x-4-x+3)/(x-1)
= (x^2+2x-1)/(x-1)

J'espère t'avoir aidé !