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Step-by-step explanation:
[tex]9x^4+21x^3-9x^2-21x\\\\=3x(3x^3+7x^2-3x-7)\\\\=3x(x^2(3x+7)-(3x+7))\\\\=3x(3x+7)(x^2-1)\\\\=3x(3x+7)(x-1)(x+1)[/tex]