(iii) (3x⁴ - 3x³ - 4x² - 4x) + x² - 2x)
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Answer:
(3x⁴ - 3x³ - 4x² - 4x) + x² - 2x = 3x(x-2)(x²+x+1)
Step-by-step explanation:
(3x⁴ - 3x³ - 4x² - 4x) + x² - 2x
=3x⁴ - 3x³ - 4x² - 4x + x² - 2x
=3x⁴ - 3x³ - 3x² - 6x
=3(x⁴ - x³ - x² - 2x)
=3x(x³ - x² - x-2)
=3x(x³ - 2x² +x² - 2x +x-2)
=3x{x²(x-2)+x(x-2)+1(x-2)}
=3x(x-2)(x²+x+1)
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