Question

1. Представьте в виде дроби выражение :

Answer 1

1)

$\tt \dfrac{4}{12xy} ^{(3}-\dfrac{11}{18xy} ^{(2} =\dfrac{12-22}{36xy} =\\\\=\dfrac{-10}{36xy} =\boxed{\dfrac{-5}{18xy} }$

2)

$\tt \dfrac{3a-4b}a ^{(b}+\dfrac{8a^2+4b^2}{ab} =\dfrac{3ab-4b^2\, +\, 8a^2+4b^2}{ab} =\\\\=\dfrac{8a^2+3ab}{ab} =\boxed{\dfrac{8a+3b}{b}}$

3)

$\tt 5-\dfrac{4m+5n}n =\dfrac{5n}n +\dfrac{-4m-5n}n =\dfrac{5n-4m-5n}n =\\\\=\boxed{\dfrac{-4m}n }$

4)

$\tt \dfrac{a^2+b^2}{2a-b}+2a+b =\dfrac{a^2+b^2}{2a-b} +\dfrac{(2a+b)(2a-b)}{2a-b} =\\\\=\dfrac{a^2+b^2}{2a-b} +\dfrac{(2a)^2-b^2}{2a-b} =\dfrac{a^2+b^2\, +\, 4a^2-b^2}{2a-b} =\\\\=\boxed{\dfrac{5a^2}{2a-b}}$