what is the LCM (2+5y)(4-25ysquared),and(2-5y)

Question

what is the LCM (2+5y),(4-25y²),and (2-5y)

Answer 1

2 + 5y = 2 + 5y

4 - 25y^2 = (2 + 5y) (2 - 5y)

2 - 5y = 2 - 5y

the lcm is (2 + 5y) (2 - 5y) because (2 + 5y) (2 - 5y) contains a (2 + 5y) (to make 2 + 5y), a (2 + 5y) (2 - 5y) (to make 4 - 25y^2), and a 2 - 5y (to make 2 - 5y).

the lcm of 2 + 5y, 4 - 25y^2, and 2 - 5y is (2 + 5y) (2 - 5y) or just 4 - 25y^2

another way of saying would be that 2 + 5y is a factor of 4 - 25y^2 and 2 - 5y is a factor of 4 - 25y^2, so the lcm is just 4 - 25y^2