Which product of prime polynomials is equivalent to 4 x to the 5th power minus 6 x to the 4th power plus 4 x cubed minus 6 x squared ?

Factor out the greatest common factor, 2x²: 4x⁵ − 6x⁴ + 4x³ − 6x² = 2x²(2x³ − 3x² + 2x − 3). Group the terms inside: x²(2x − 3) + 1(2x − 3) = (x² + 1)(2x − 3). This gives 2x²(x² + 1)(2x − 3), which is choice B.

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