Question

Simplify the expression: 3u / 9(u + v)

A. u / 3(u+v)
B. 1 / 3(u + v)
C. u / 9(u + v)
D. 3u / 9u + 9v

Answer 1

To simplify 3u / 9(u + v), factor out the common terms and cancel them, leading to the simplified form u / 3(u + v), which is option A.

Step-by-step explanation:

To simplify the expression 3u / 9(u + v), you need to follow these steps:

1. Factor the numerator and the denominator. Here, you can factor out a 3 from the denominator.
2. After factoring, the expression will look like this: (3u) / (3 * 3(u + v)).
3. Next, cancel out the common factor of 3 in the numerator and denominator. This gives u / (3(u + v)).

Therefore, the simplified expression is u / 3(u + v), which corresponds to option A.