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Factoring Perfect Cubes:
What is 250x^4 + 128x factored completely?

1 Answer

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250x⁴ + 128x
2x(125x³) + 2x(64)
2x(125x³ + 64)
2x(125x³ + 100x² - 100x² + 80x - 80x - 64)
2x(125x³ + 100x² + 80x - 100x² - 80x - 64)
2x(5x(25x²) + 5x(20x) + 5x(16) - 4(25x²) - 4(20x) - 4(16))
2x(5x(25x² + 20x + 16) - 4(25x² + 20x + 16))
2x(5x - 4)(25x² + 20x + 16)
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