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The L.C.M. of (2x2 - 3x - 2) and (x3 - 4x2 + 4x) is ________

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The L.C.M. of (2x2 - 3x - 2) and (x3 - 4x2 + 4x) is ________
  • Ax(2x2 + 1)(x2 + 2)
  • Bx(2x + 1)(x - 2)2
  • Cx(2x2 + 1)(x - 1)2
  • Dx(2x + 1)(x2 - 1)
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2x2 - 3x - 2 = 2x2 - 4x + x - 2

2x(x - 2) + 1(x - 2)

(x - 2)(2x + 1)

x3 - 4x2 + 4x = x(x2 - 4x + 4)

x(x - 2)2

LCM = x(x - 2)2(2x + 1)