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Simplify. (x−5)(x2−2x−6)

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The distributive property helps perform this multiplication.

... (x-5)(x² -2x -6)

... = x(x² -2x -6) -5(x² -2x -6) . . . . . second factor times each term in the first factor

... = x³ -2x² -6x -5x² +10x +30 . . . use the distributive property again

... = x³ -7x² +4x +30 . . . . . . . . . . . combine like terms

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