Question

8. Efectuați operaţiile urmatoare, semplificând pe cat posibil rezultatul
a) 3x\x+1 + 3\x+1
b)2x-1\x²+2x + 5\x²+x
c)x²+x\2x+6 + 2x+1/2x+6+x+2/2x+6​

Answer 1

a) 3x/(x + 1) + 3/(x + 1) = (3 + 3) / (x + 1) = 6 / (x + 1)b) (2x - 1)/(x² + 2x) + 5/(x² + x) = (2x - 1 + 5x² + 5x) / (x² + 2x + x² + x) = (2x + 5x² + 4x) / (2x + 2x² + x)c) (x² + x) / (2x + 6) + (2x + 1) / (2x + 6 + x + 2) / (2x + 6) = (x² + x + 2x + 1) / (2x + 6) = (x² + 3x + 1) / (2x + 6)