Question

спростити вираз.......​

Answer 1

1) 3m
——
m(в квадрате) - 9

Answer 2

1)   $\frac{m^2}{m^2-9} -\frac{m}{m+3} =\frac{m^2}{(m-3)(m-3)} -\frac{m}{m+3} =\frac{m^2-m(m-3)}{(m-3)(m-3)} =\frac{m^2-m^2+3m}{(m-3)(m-3)} =\frac{3m}{m^2-9}$

2)  $\frac{14p^2}{7p+3} -2p=\frac{14p^2-2p(7p+3)}{7p+3} =\frac{14p^2-14p^2-6p}{7p+3} =-\frac{6p}{7p+3}$

3)    $\frac{y+3}{2y+2}-\frac{y+1}{2y-2} +\frac{3}{y^2-1} = \frac{y+3}{2(y+1)}-\frac{y+1}{2(y-1)} +\frac{3}{(y-1)(y+1)} =$

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

 $= \frac{2}{2(y-1)(y+1)} = \frac{1}{y^2-1}$