Question

1)2b/35(b+c) + 4b/15(b+c) 2)3/x²-2x + 1/2xy-4y3)a/ab-b² + 2a/b-a4)5b/ax-ay - 3a/by - bx5)2x/9-x² - 1/2x-66)2/4c² - 25 + 3c /15 - 6c7)2m/(2m-3)² + 3-m/9 - 4m²8)5/z² - 12z + 36 +2z/6-z9) a/9a² - 6a +1 - 4a/1-9a²10)3-x/ x³-8 + x-2/4+2x + x²11)6/3+n - n²-1/n³+27​

Answer 1

Ответ:

1) 34b/105b+105c

2) 6y+x/2x² y-4xy

3) a-2ab/ab-b²

4) - 5b²+3a²/-abx+aby

5) 5x+3/18-2x²

6) - 2c²-5c+2/4c²-25

7) 6m²-3m+9/8m³-12m²-18m+27

8) - 2z²+12z+5/(z-6)²

9) - 3a+15a²/27a³-9a-3a+1

10) x²-5x+7/x³-8

11) 5n²-18n+55/27+n³

Answer 2

Let's simplify each of the given expressions:

1. 2b/35(b+c) + 4b/15(b+c) To add these fractions, we need a common denominator, which is (b+c). The simplified expression is: (2b(15) + 4b(35))/(35(15)(b+c)) = (30b + 140b)/(525(b+c)) = 170b/(525(b+c))

2. 3/(x²-2x) + 1/(2xy-4y) The denominators are not factors of each other, so we cannot directly add them. The expression cannot be simplified further.

3. a/(ab-b²) + 2a/(b-a) We need a common denominator, which is (ab-b²)(b-a). The simplified expression is: (a(b-a) + 2a(ab-b²))/(ab-b²)(b-a) = (ab - a² + 2ab - 2a²)/(ab - b² - ab + a²) = (3ab - 3a²)/(ab - b² - a²)

4. 5b/(ax-ay) - 3a/(by - bx) The denominators are not factors of each other, so we cannot directly subtract them. The expression cannot be simplified further.

5. 2x/(9-x²) - 1/(2x-6) The denominators are not factors of each other, so we cannot directly subtract them. The expression cannot be simplified further.

6. 2/(4c² - 25) + (3c)/(15 - 6c) To add these fractions, we need a common denominator, which is (4c² - 25)(15 - 6c). The simplified expression is: (2(15 - 6c) + 3c(4c² - 25))/(4c² - 25)(15 - 6c) = (30 - 12c + 12c² - 75c)/(60c² - 375 - 150c) = (12c² - 45c + 30)/(60c² - 150c - 375)

7. 2m/((2m-3)²) + (3-m)/(9 - 4m²) The denominators are not factors of each other, so we cannot directly add them. The expression cannot be simplified further.

8. 5/(z² - 12z + 36) + 2z/(6 - z) To add these fractions, we need a common denominator, which is (z² - 12z + 36)(6 - z). The simplified expression is: (5(6 - z) + 2z(z² - 12z + 36))/(z² - 12z + 36)(6 - z) = (30 - 5z + 2z³ - 24z² + 72z)/(6z² - 36z - z³ + 12z² - 36z) = (2z³ - 24z² + 47z + 30)/(2z³ - 24z² + 36z)

9. a/(9a² - 6a + 1) - 4a/(1 - 9a²) The denominators are not factors of each other, so we cannot directly subtract them. The expression cannot be simplified further.

10. 3 - x/(x³ - 8) + (x - 2)/(4 +