122k views
9 votes
Find the LCD for each set of rational expressions.

x/2x + 16 and -4x/3x - 27
please help!! fast!!

1 Answer

3 votes

Final answer:

To find the LCD for the given rational expressions, you have to multiply the binomial denominators (2x + 16) and (3x - 27) as they have no common factors, making the LCD (2x + 16)(3x - 27).

Step-by-step explanation:

To find the least common denominator (LCD) for the set of rational expressions x/2x + 16 and -4x/3x - 27, you need to identify the least common multiple (LCM) of the denominators. As the question appears to have typos, let's assume the expressions are in their simplest form:

First expression: x/(2x + 16)

Second expression: -4x/(3x - 27)

We need to find the LCM of (2x + 16) and (3x - 27). These two expressions are binomials and do not share any common factors, so the LCM is simply their product.

The LCD is therefore (2x + 16)(3x - 27).

User Brool
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories