Question

2h+y/9h^2-y^2 - 4h^2/3h+y what is the least common denominator in this expression

Answer 1

The least common denominator (LCD) in the expression is obtained by finding the least common multiple (LCM) of the denominators. In this case, the denominators are 9h^2-y^2, 3h+y, and 4h^2. The LCD is (3h+y)(3h-y)(2h).

Step-by-step explanation:

The least common denominator (LCD) in the expression is obtained by finding the least common multiple (LCM) of the denominators. In this case, the denominators are 9h^2-y^2, 3h+y, and 4h^2. To find the LCD, we need to factor each denominator and determine the highest power of each factor:

1. The factors of 9h^2-y^2 are (3h+y)(3h-y).
2. The factors of 3h+y are (3h+y).
3. The factors of 4h^2 are (2h)(2h).

The highest power of each factor is (3h+y)(3h-y)(2h), so the LCD is (3h+y)(3h-y)(2h).