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LCM of 4x³-16x2 + 20x - 8 and 8x³-48x² + 72x-32​

User Framara
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1 Answer

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First, we can factor out a 4 from both polynomials to simplify the calculation:

4( x³ - 4x² + 5x - 2 ) and 8( x³ - 6x² + 9x - 4 )

Next, we can find the prime factorization of each polynomial:

4( x - 1 )( x - 1 )( x - 2 ) and 8( x - 2 )( x - 2 )( x - 1 )

The LCM is the product of the highest powers of each prime factor, so:

LCM = 4 * 2 * ( x - 1 ) * ( x - 2 ) * ( x - 2 ) = 8( x - 1 )( x - 2 )²
User Carlos Martinez
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