Question

Given the rational expressions (6)/(b²+3b-28) and (8b)/(b²-6b+8), Rewrite the rational expression as an equivalent rational expression

Answer 1

To rewrite the rational expressions as equivalent rational expressions, factor the denominators and find the common factors.

Step-by-step explanation:

To rewrite the rational expressions as equivalent rational expressions, we need to factor the denominators and find the common factors.

1. For the expression (6)/(b²+3b-28), the denominator can be factored as (b+7)(b-4).
2. For the expression (8b)/(b²-6b+8), the denominator can be factored as (b-4)(b-2).

Therefore, the equivalent rational expression for (6)/(b²+3b-28) is (6)/((b+7)(b-4)) and the equivalent rational expression for (8b)/(b²-6b+8) is (8b)/((b-4)(b-2)).