find the lcd of the rational expressions 1/35r, (r+3)/10r^2
To find the least common denominator (LCD) of rational expressions, you need to first factor the denominators and then identify the common factors.
Let's factor the denominators:
Denominator of 1/35r: 35r = 5 * 7 * r
Denominator of (r+3)/10r^2: 10r^2 = 2 * 5 * r^2
Now, let's identify the common factors:
The common factors are 5 and r.
Next, we need to determine the highest power of each factor. In this case, the highest power of 5 is 1 and the highest power of r is 1.
Therefore, the LCD of these rational expressions is 5r.