Find the LCM of (2x²-3xy)² and 8x³-27y³
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Step-by-step explanation:
Let us factor each of the polynomials.
4x2y = 2 ⋅ 2 ⋅ x2 ⋅ y
= 22 ⋅ x2 ⋅ y
8x3y2 = 2 ⋅ 2 ⋅ 2⋅ x3 ⋅ y2
= 23 ⋅ x3 ⋅ y2
The highest power for 2 is 22, x is x3 and y is y2
L.C.M = 23⋅ x3 ⋅ y2 = 8 x3 y2
Hence the answer is 8 x3 y2
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