reshmathaap16
reshmathaap16 reshmathaap16
  • 14-04-2022
  • Mathematics
contestada

find the L.C.M of 4x3 - 9x, 10x2 - 15x​

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sqdancefan
sqdancefan sqdancefan
  • 16-04-2022

Answer:

  20x³ -45x

Step-by-step explanation:

The least common multiple of two expressions is the product of their unique factors.

__

  4x³ -9x = x(4x² -9) = x(2x -3)(2x +3) . . . . factors of 1st expression

  10x² -15x = 5x(2x -3) . . . . . . . . . . . . . . . . factors of 2nd expression

The unique factors are 5, x, (2x -3), and (2x +3). Their product is ...

  5(4x³ -9x) = 20x³ -45x . . . . least common multiple

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