Question

Find the least common denominator of two rational expressions:

2r+1/2r^2 +7r+6
And
R+2/2r^2 -7r-15

Answer 1

The LCD of the two expressions is (2r + 3)(r - 2).

Step-by-step explanation:

To find the least common denominator (LCD) of the given rational expressions, we need to find the least common multiple (LCM) of their denominators.

Step 1: Factor the denominators of both expressions.

Step 2: Identify the common factors and the unique factors of the denominators.

Step 3: Multiply the unique factors together, along with the common factors raised to their highest powers.

Step 4: Simplify the resulting expression, if possible, by canceling out common factors.

In this case, the LCD of the two expressions is (2r + 3)(r - 2).