Преобразуйте в алгебраическую дробь

1) [latex]= \frac{15}{5p^2q(2p-3q)}- \frac{69}{3pq^2(3q-2p)}= \\ [/latex] [latex]= \frac{3}{p^2q(2p-3q)}+ \frac{23}{pq^2(2p-3q)}= \\ [/latex] [latex]= \frac{3q+23p}{p^2q^2(2p-3q)}= \frac{3q+23p}{2p^3q^2-3p^2q^3} [/latex] 2) [latex]= \frac{3b}{2a^2b(a-4b)}- \frac{5a}{3a^3(4b-a)}= \\ [/latex] [latex]= \frac{3}{2a^2(a-4b)}+ \frac{5}{3a^2(a-4b)}= \frac{3*3+5*2}{6a^2(a-4b)}= \frac{19}{6a^3-24a^2b} [/latex] 3) [latex]= \frac{x(x-y)}{(x-2y)^3}- \frac{1}{x-2y}= \frac{x}{(x-2y)^2}- \frac{1}{x-2y}= \\ \\ = \frac{x-(x-2y)}{(x-2y)^2}= \frac{x-x+2y}{(x-2y)^2}= \frac{2y}{(x-2y)^2} [/latex] 4) [latex]= \frac{a^2+b^2+(a-b)(a+b)}{a+b}= \frac{a^2+b^2+a^2-b^2}{a+b}= \frac{2a^2}{a+b} [/latex]