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

User Homerman
by
8.1k points

1 Answer

11 votes

Answer:

20x³ -45x

Explanation:

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

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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

User Georgia Kalyva
by
8.6k points
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