The LCM of 8x and 25y is 200xy
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(8x + 5y)(64x^2 - 40xy + 25y^2)
The LCM is: 24xy
To find the least common multiple (LCM) of 8x and 18xy, we need to identify the highest power of each prime factor that appears in either number. The prime factors of 8x are 2 and x, while the prime factors of 18xy are 2, 3, x, and y. The LCM is the product of the highest power of each prime factor: 2^3 * 3^1 * x^1 * y^1 = 24xy. Therefore, the LCM for 8x and 18xy is 24xy.
- 5X + 25Y = 0 25Y = 5X Y = (1/5)X ============
25y**8/15y**5 25y**3/15 5y**3/3 (5/3)y**3