Question

Fie r=(x+2)²-(x-1)² supra 4x²-1.Simplificati r daca x∈R -{+-0,5}.

Dau coronita !!!

Answer 1

(x+2)²-(x-1)²|4x²-1
x²+4x+4-(x²-2x+1)|4x²-1
x²+4x+4-x²+2x-1|4x²-1
6x-3|4x²-1
succes

Answer 2

$\frac{(x+2)^2-(x-1)^2}{4x^2-1} = \frac{x^2+4x+4-(x^2-2x+1)}{(2x-1)(2x+1)} = \frac{x^2+4x+4-x^2+2x-1}{(2x-1)(2x+1)} \\\\ = \frac{6x+3}{(2x-1)(2x+1)}= \frac{3*(2x+1)}{(2x-1)(2x+1)} = \frac{3}{2x-1}$