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Mathematics

Simplify (x - 6)(x - 4)(x + 2)

Expansions

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Answer

Given,

⇒ (x - 6)(x - 4)(x + 2)

⇒ (x - 6)(x² + 2x - 4x - 8)

⇒ (x - 6)(x² - 2x - 8)

⇒ x³ - 2x² - 8x - 6x² + 12x + 48

⇒ x³ - 8x² + 4x + 48.

Hence, (x - 6)(x - 4)(x + 2) = x³ - 8x² + 4x + 48.

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Reason (R): ∵ 5 - 3 - 2 = 0
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Both A and R are true, and R is the correct reason for A.
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