Question

Решение примеров подскажите a)4b+9/6b+2b-3/6b b)q+2/q-2+6-q/q-2 c)a/а-3+3/3-а в)m в квадрате/m-n -n в квадрате /m-n

Answer 1

$\frac{4b + 9}{6b} + \frac{2b-3}{6b} = \frac{4b + 9 + 2b - 3}{6b} = \frac{6b + 6}{6b} = \frac{6(b + 1)}{6b} = \frac{b+ 1}{b} = 1 + \frac{1}{b}$
$\frac{q+2}{q-2} + \frac{6-q}{q-2} = \frac{q+2+6-q}{q-2} = \frac{8}{q-2}$
$\frac{a}{a-3} + \frac{3}{3-a} = \frac{a}{a-3} - \frac{3}{a-3} = \frac{a-3}{a-3} = 1$
$\frac{m^2}{m-n} - \frac{n^2}{m-n} = \frac{m^2 - n^2}{m-n} = \frac{(m-n)(m+n)}{m-n} = m+n$