Question

Вырожения 1. 4b/ 3(b+3) -4/b+3 2. x/4(x-1) - x/6(x-1) 3. 2a/3a+3 +5a/6a+6 4.m/4m-4 -m/12m-12 5. 2a/a2-b2 - 2/ a+b 6. c2 +25/c2 -25 -c/c+5

Answer 1

$\frac{4b}{3(b+3)}- \frac{4}{b}+3= \frac{4b^2-12(b+3)+9b(b+3)}{3b(b+3)}= \frac{13b^2-36+15b}{3b(b+3)} \\\ \frac{x}{4(x-1)}- \frac{x}{6(x-1)} = \frac{3x-2x}{12(x-1)}= \frac{x}{12(x-1)}$

$\frac{2a}{3a} +3 + \frac{5a}{6a}+6= \frac{4}{6} + \frac{5}{6}+9= \frac{9}{6}+9=10.5 \\\ \frac{4m}{4m} -4- \frac{m}{12m} -12= 1 - \frac{1}{12} -16=-15\frac{1}{12}$

$\frac{2a}{a^2}-b^2 - \frac{2}{a}+b=\frac{2}{a}-b^2 - \frac{2}{a}+b=b-b^2 \\\ c^2 + \frac{25}{c^2} -25 - \frac{c}{c}+5 =c^2 + \frac{25}{c^2} -20 - 1= c^2 + \frac{25}{c^2} -21= \frac{c^4+25-21c^2}{c^2}$