have the answer and would love confirmation. VERY APPRECIATED!
Find the LCM OF (1+2t), (1-4t^2), and (1-2t).
1-4t^2=(1+2t)(1-2t)
1+2t = 1+2t
1-4t^2= (1+2t)(1-2t)
1-2t = 1 - 2t.
The LCM for all numbers is
1-4t^2 = (1+2t)(1-2t)
Thank you
LCM = (1 - 2t)(1 + 2t)
Thank you
To find the least common multiple (LCM) of the expressions (1+2t), (1-4t^2), and (1-2t), you can follow these steps:
1. Factor each expression, if possible:
- (1+2t) cannot be factored further.
- (1-4t^2) can be factored as (1+2t)(1-2t) using the difference of squares formula.
- (1-2t) cannot be factored further.
2. Identify the common factors among the expressions:
- The common factor is (1+2t).
3. Multiply the expressions by the common factors:
- (1+2t) needs to be multiplied by (1-2t) to make it the same as (1-4t^2).
- So, the LCM of the expressions is (1+2t)(1-2t).
Therefore, your statement that the LCM is (1+2t)(1-2t) is correct. Well done!