Question

Сократите дроби:

a) 20x⁵y⁴
---------
15x³y⁵


б) 3d-c
---------
3cd-c²


в) 3m-3n
----------
m²-n²

Answer 1

$\frac{20 {x}^{5} {y}^{4} }{15 {x}^{3} {y}^{5} } = \frac{4 {x}^{2} }{3y}$

$\frac{3d - c}{3cd - {c}^{2} } = \frac{3d - c}{c(3d - c)} = \frac{1}{c}$

$\frac{3m - 3n}{ {m}^{2} - {n}^{2} } = \frac{3(m - n)}{(m - n)(m + n)} = \frac{3}{m + n}$

Answer 2

Объяснение:

$\[\begin{gathered}\frac{{20{x^5}{y^4}}}{{15{x^3}{y^5}}}=\frac{{20}}{{15}}{x^{5-3}}{y^{4-5}}=\frac{4}{3}{x^2}{y^{-1}}=\boxed{\frac{{4{x^2}}}{{3y}}} \hfill \\\frac{{3d-c}}{{3cd-{c^2}}}=\frac{{3d-c}}{{c(3d-c)}}=\boxed{\frac{1}{c}} \hfill \\\frac{{3m-3n}}{{{m^2}-{n^2}}}=\frac{{3(m-n)}}{{(m-n)(m+n)}}=\boxed{\frac{3}{{m+n}}} \hfill \\ \end{gathered} \]$