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I need help with my work

I need help with my work-example-1

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5 votes

Answer:

D

Explanation:

Given

(x - 5)³ = (x - 5)(x - 5)(x - 5)

Expand (x - 5)(x - 5) using FOIL then multiply the result by (x - 5)

(x - 5)(x - 5)

= x² - 5x - 5x + 25 = x² - 10x + 25, then

(x - 5)(x² - 10x + 25)

= x(x² - 10x + 25) - 5(x² - 10x + 25)

= x³ - 10x² + 25x - 5x² + 50x - 125 ← collect like terms

= x³ - 15x² + 75x - 125 → D

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