What is the LCM of (8x3 + 80x2 + 200x) and (4x4 + 16x3 - 20x2)?
A. 8x2(x + 5)2(x - 1)
B. 8x2(x - 1)2(x + 5)
C. 4x2(x - 1)2(x + 5)
D. 4x2(x + 5)2(x - 1)
Answer: Option A
Solution(By Examveda Team)
8x3 + 80x2 + 200x and 4x4 + 16x3 - 20x2⇒ 4x[2x2 + 20x + 50] = 4x2[x2 + 4x - 5]
⇒ 8x[x2 + 10x + 25] = 4x2[x2 + 5x - x - 5]
⇒ 8x(x + 5)2 = 4x2[x(x + 5) - 1(x + 5)]
⇒ 8x(x + 5)2 = 4x2(x + 5)(x - 1)
LCM = 8x2(x + 5)2(x - 1)
This Question Belongs to Arithmetic Ability >> Problems On H.C.F And L.C.M
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