Question

преобразуйте в алгебраическую дробь

Answer 1

1)
$= frac{15}{5p^2q(2p-3q)}- frac{69}{3pq^2(3q-2p)}=$
$= frac{3}{p^2q(2p-3q)}+ frac{23}{pq^2(2p-3q)}=$
$= frac{3q+23p}{p^2q^2(2p-3q)}= frac{3q+23p}{2p^3q^2-3p^2q^3}$

2)
$= frac{3b}{2a^2b(a-4b)}- frac{5a}{3a^3(4b-a)}=$
$= frac{3}{2a^2(a-4b)}+ frac{5}{3a^2(a-4b)}= frac{3*3+5*2}{6a^2(a-4b)}= frac{19}{6a^3-24a^2b}$

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

4)
$= frac{a^2+b^2+(a-b)(a+b)}{a+b}= frac{a^2+b^2+a^2-b^2}{a+b}= frac{2a^2}{a+b}$