Сократите дроби пж;)) 1) 20c^10d^9\15c^11d^12 2) c^2-6c+9\cd(c-3)^2 3) c^2-d^2\c^2+2cd+d^2

Question

Сократите дроби пж;))
1) 20c^10d^9\15c^11d^12
2) c^2-6c+9\cd(c-3)^2
3) c^2-d^2\c^2+2cd+d^2

Answer 1

1) 20c¹⁰d⁹/15c¹¹d¹² = (20 ÷ 5)c¹⁰d⁹/(15 ÷ 5)c¹¹d¹² = 4/3(c¹⁰⁻¹¹)(d⁹⁻¹²) = (4/3)(c⁻¹)(d⁻³) =
= (4/3)(1/c⁻¹d⁻³) = 4/(3c⁻¹d⁻³) = 4cd³/3
2) (c² - 6c + 9)/cd(c - 3)² = (c - 3)²/cd(c - 3)² = 1/cd
3) (c² - d²)/(c² + 2cd + d²) = (c² - d²)/(c+d)² = (c - d)(c + d)/(c + d)(c + d) =
= (c - d)/(c + d)