Find the least common denominator of 5x / x^2 -7x -30 and 8 / x^2 -5x -24

(x - 10)(x - 8)(x + 3) = x³ - 15x² + 34x + 240

Step-by-step explanation:

To find the common denominator of the two fractions, you need to first factor the polynomials:

x² - 7x - 30 = (x - 10)(x + 3)

x² - 5x - 24 = (x - 8)(x + 3)

Since the common binomial is (x + 3), both denominators would need to also include (x - 10) and (x - 8).  So, the full common denominator is:

(x + 3)(x - 10)(x - 8)

When you multiply these polynomials out using distribution and FOIL:

x³ - 15x² + 34x + 240

water molecules will move from the side of higher water concentration to the side of lower concentration until both solutions are isotonic. at this point, equilibrium is reached. in an isotonic solution, the flow of water in and out of the cell is happening at the same rate.

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step-by-step explanation: