Question

Сократите дробь 1) 3а+12b/6ab, 2) 15b-20c/10b, 3) 2a-4/3(a-2), 4) 15x(y+2)/6y+12 6)3x^2+15xy/x+5y

Answer 1

1) 3a+12b/6ab=3(a+4b)/6ab=a+4b/2ab

2) 15b-20c/10b=5(3b-4c)/10b=3b-4c/2b

3)2a-4/3(a-2)=2(a-2)/3(a-2)=2/3

4)15x(y+2)/6y+12=15x(y+2)/6(y+2)=15x/6=5x/2=5/2x=2,5x

5)3x²+15xy/x+5y=3x(x+5y)/x+5y=3x

Answer 2

1. (3a + 12b) / (6ab) = 3(a + 4b) / 6ab = (a + 4b) / 2ab

2. (15b - 20c) / (10b) = 5(3b - 4c) / 10b = (3b - 4c) / 2b

3. (2a - 4) / (3(a - 2)) = 2(a - 2) / 3(a - 2) = 2/3

4. 15x(y + 2) / (6y + 12) = 15x(y + 2) / 6(y + 2) = 5x / 2

5. (3x^2 + 15xy) / (x + 5y) = 3x(x + 5y) / (x + 5y) = 3x