Question

Efectuati:
a) $\frac{4x+3}{3(x+1)} + \frac{-2}{5(x+1)} =$
b) $\frac{x}{x-2} + \frac{1}{x+2} =$
c) $\frac{4x}{2x-3} + \frac{x}{2x+3} =$
d) $\frac{2x-5}{x(x+7)} + \frac{1}{x+7} + \frac{4x-3}{x} =$
Multumesc.

Answer 1

a) (4x+3)/3(x+1)+(-2)/5(x+1)=[5(4x+3)-6]/15(x+1)=(20x+15-6)/15(x+1)=(9+20x)/15(x+1)
b) x/x-2+1/x+2=[x(x+2)+1(x-1)]/(x+2)(x-2)=(x²+2x+x-1)/x²-4=(x²+3x-1)/x²-4
c) 4x/2x-3+x/2x+3=[4x(2x+3)+x(2x-3)]/(2x-3)(2x+3)=(8x²+12x+2x²-3x)/4x²-9=    (10x²+9x)/4x²-9
d) (2x-5)/x(x+7)+1/(x+7)+(4x-3)/x=[2x-5+x+(x+7)(4x-3)]/x(x+7)=              
(2x-5+x+4x²-3x+28x-21)/(x²+7x)=(4x²+28x-26)/(x²+7x)

/ inseamna fractie