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Use the FOIL method.

(4x^3 - 4)(x^2-25)

4x^3*x^2=4x^5

-4*x^2=-4x^2

4x^3*-25=-100x^3

-4*-25=100

4x^5-100x^3-4x^2+100

Factor out a 4 to simplify

4(x^5-25x^3-x^2+25)

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