Решите все задания. НЕ решайте если не знаете тему. Тема. Алгебраические дроби. Основное...

Решите задачу:

$\frac{15a^2b^3}{18a^3b} = \frac{5b^2}{6a} \\\ \frac{b^2-9}{b^2+3b} = \frac{(b-3)(b+3)}{b(b+3)} = \frac{b-3}{b}$

$\frac{7x}{12y} = \frac{14x^2}{24xy} \\\ \frac{5y}{8x} = \frac{15y^2}{24xy}$

$\frac{3b}{a} = \frac{3b(a+b)}{a(a+b)} \\\ \frac{a}{a+b} = \frac{a^2}{a(a+b)}$

$\frac{m}{m+n} = \frac{m(m-n)}{m^2-n^2} \\\ \frac{n}{m-n} = \frac{n(m+n)}{m^2-n^2}$

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

$\frac{48p^3q^4}{36p^2q^3} = \frac{4pq}{3} \\\ \frac{x^2+6x+9}{x^2-9} = \frac{(x+3)^2}{(x-3)(x+3)} = \frac{x+3}{x-3}$

$\frac{10x^2}{9y^2} = \frac{40x^3}{36xy^2} \\\ \frac{8}{12xy} =\frac{24y}{36xy^2}$

$\frac{b+2}{4b} = \frac{b^2-4}{4b(b-2)} \\\ \frac{4b+5}{4b-8} = \frac{4b^2+5b}{4b(b-2)}$

$\frac{2c}{c+d} = \frac{2c(d-c)}{d^2-c^2} \\\ \frac{3d}{d-c} = \frac{3d(d+c)}{d^2-c^2}$

$\frac{5t}{t^2-25} = \frac{5t(t-5)}{(t-5)^2(t+5)} \\\ \frac{t+5}{(t-5)^2}= \frac{(t+5)^2}{(t-5)^2(t+5)}$