Question

Lcm of 1/2a+b + 1/2b+a

Answer 1

Given: The term 1/2a+b + 1/2b+a

To find: The LCM of the given term.

Solution:

• Now we have provided with the term 1/2a+b + 1/2b+a

• LCM can be found out by cross multiplying the denominators.

• So, we get:

            1/2a+b + 1/2b+a

            2b + a + 2a + b / (2a + b)(2b + a)

            3a + 3b / 4ab + 2a² + 2b² + ab

            3a + 3b / 2a² + 2b² + 5ab

• So as we can see above, the LCM is 3a + 3b / 2a² + 2b² + 5ab

Answer:

         So the LCM of 1/2a+b + 1/2b+a is 3a + 3b / 2a² + 2b² + 5ab