Activity #2Multiply the given rational expressions then5b 31.a+25b3x42.18 9x12x18aC3.4.b14a2xyx²-8185.yx-9​

Answer:Here are the solutions to the given rational expressions: 1. (5b / (a + 2)) * (3 / 5b) - Multiply the numerators: 5b * 3 = 15b- Multiply the denominators: (a + 2) * 5b = 5ab + 10b- Simplify by canceling out common factors: 15b / (5ab + 10b) = 3 / (a + 2) Answer: 3 / (a + 2) 2. (3x / 18) * (4 / 9x) - Multiply the numerators: 3x * 4 = 12x- Multiply the denominators: 18 * 9x = 162x- Simplify by canceling out common factors: 12x / 162x = 2 / 27 Answer: 2 / 27 3. (8a / b) * (c / 14a) - Multiply the numerators: 8a * c = 8ac- Multiply the denominators: b * 14a = 14ab- Simplify by canceling out common factors: 8ac / 14ab = 4c / 7b Answer: 4c / 7b **4. (12x⁴ / 2xy) * (5xy / 9y³) ** - Multiply the numerators: 12x⁴ * 5xy = 60x⁵y- Multiply the denominators: 2xy * 9y³ = 18xy⁴- Simplify by canceling out common factors: 60x⁵y / 18xy⁴ = 10x⁴ / 3y³ Answer: 10x⁴ / 3y³ 5. (x² - 81 / y) * (8 / x - 9) - Factor the difference of squares in the numerator: (x² - 81) = (x + 9)(x - 9)- Multiply the numerators: (x + 9)(x - 9) * 8 = 8(x + 9)(x - 9)- Multiply the denominators: y * (x - 9) = y(x - 9)- Simplify by canceling out common factors: 8(x + 9)(x - 9) / y(x - 9) = 8(x + 9) / y Answer: 8(x + 9) / y

Answered by janiceidano820 | 2024-09-07