Question

What are the non-permissible values of (5a² + 80a)/50ab²?

A. a = 0, b = 0
B. a = 0, b ≠ 0
C. a ≠ 0, b = 0
D. a ≠ 0, b ≠ 0

Answer 1

The non-permissible values for the expression (5a² + 80a)/50ab² are when a = 0 or b = 0, because having a zero in the denominator of a fraction results in an undefined expression.

Step-by-step explanation:

The non-permissible values for the expression (5a² + 80a)/50ab² are values for a and b that would make the denominator equal to zero, as division by zero is undefined in mathematics. Looking at the denominator, which is 50ab², we see that if a equals zero or if b equals zero, the denominator would become zero. Therefore, the non-permissible values are when a = 0, irrespective of the value of b, and when b = 0, irrespective of the value of a. Hence the correct answer to the question "What are the non-permissible values of (5a² + 80a)/50ab²?" is B. a = 0, b \u2260 0 and C. a \u2260 0, b = 0.