Question

What is the lowest common denominator of a/b+c / a/b-c?

A. b
B. a
C. a-b
D. a+b

Answer 1

The lowest common denominator of a/b+c / a/b-c is (b+c)(b-c).

Step-by-step explanation:

The lowest common denominator of a fraction is the smallest multiple that two or more denominators have in common. In this case, we have the fractions a/b+c / a/b-c. To find the lowest common denominator, we need to find the least common multiple (LCM) of the denominators b+c and b-c.

Since neither denominator is an exact multiple of the other, we need to find the LCM of b+c and b-c. The LCM of two numbers can be found by multiplying the numbers together and dividing by their greatest common divisor (GCD).

Therefore, the lowest common denominator of a/b+c / a/b-c is (b+c)(b-c).