👤

4x`2-9/2x`2-x-3=2x+3/x+1

Răspuns :

(4x²-9)/(2x²-x-3)=(2x+3)/(x+1 )

4x²-9=(2x-3)(2x+3)

2x²-x-3=2x²+2x-3x-3=2x(x+1)-3(x+1)=(x+1)(2x-3)


(4x²-9)/(2x²-x-3)=(2x+3)/(x+1 )

(2x-3)(2x+3)/(x+1)(2x-3) =(2x+3)/(x+1 )

(2x+3)/(x+1)=(2x+3)/(x+1 )