Answer :

The correct answer is option C.

Step by step solution is listed below.

[tex](4 x^{3}+8x)( x^{2} -1) \\ \\ =4 x^{3}(x^{2} -1)+8x(x^{2} -1) \\ \\ =4x^{5}-4 x^{3}+8 x^{3}-8x \\ \\ =4 x^{5}+4 x^{3}-8x [/tex]

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