Question

Сократите дробь a)15x-10xy÷5xyб)m²-4÷2m-4в)25-a²÷a²-10a+25

Answer 1

$1) \frac{15x-10xy}{5xy}= \frac{5x(3-2y)}{5xy}= \frac{3-2y}{y} \\ 2) \frac{m^2-4}{2m-4}= \frac{(m-2)(m+2)}{2(m-2)}= \frac{m+2}{2} \\ 3) \frac{25-a^2}{a^2-10a+25}= \frac{(5-a)(5+a)}{(a-5)^2}= \frac{-(a-5)(5+a)}{(a-5)^2}= -\frac{a+5}{a-5}$

Answer 2

Я могу помочь вам сократить дроби. Вот ответы:

a) 15x-10xy÷5xy = (15x-10xy)/(5xy) = (5x(3-2y))/(5xy) = (3-2y)/y

б) m²-4÷2m-4 = (m²-4)/(2m-4) = ((m-2)(m+2))/(2(m-2)) = (m+2)/2

в) 25-a²÷a²-10a+25 = (25-a²)/(a²-10a+25) = ((5+a)(5-a))/((a-5)²) = -(5-a)/(a-5)