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

1 Answer

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9514 1404 393

Answer:

x^3 -6x^2 +5x +12

Explanation:

The distributive property is helpful for this.

(x -4)(x^2 -2x -3) = x(x^2 -2x -3) -4(x^2 -2x -3) . . . . distribute x -4

= x^3 -2x^2 -3x -4x^2 +8x +12 . . . . distribute x and -4

= x^3 -6x^2 +5x +12 . . . . . collect terms

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