Question

(ab - b ^ 2)/8 * (6a)/(b ^ 3)

Answer 1

Ответ:    3a(a-b)/4b².

Объяснение:

(ab - b²)/8 * (6a)/(b³) = b(a-b)*6a³/8b³ = 3a(a-b)/4b².

Answer 2

To simplify the expression (ab - b^2)/8 * (6a)/(b^3), we can follow these steps:

Step 1: Simplify the numerator of the first fraction (ab - b^2): The numerator can be factored as b(a - b), so the expression becomes (b(a - b))/8 * (6a)/(b^3).

Step 2: Simplify the denominator of the second fraction (b^3): The denominator can be written as (b^3) = b * b * b.

Step 3: Simplify the expression further: Now we can cancel out common factors between the numerator and denominator: (b(a - b))/(8 * b * b * b) * (6a)/(1)

Simplifying further, we have: (b(a - b))/(8b^3) * (6a)

Step 4: Combine the numerators and denominators: Multiplying the numerators together and multiplying the denominators together, we get: 6ab(a - b)/(8b^3)

Step 5: Simplify the expression: We can simplify the expression by canceling out common factors. In this case, we can cancel out a factor of 2 between the numerator and denominator: 3ab(a - b)/(4b^3)

So, the simplified expression is 3ab(a - b)/(4b^3).