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  9. Q475

RRB Group D (Level-1 posts) 2022 · Question 475 of 598

Simplify: 6(x3 - 2x2 + 3x) - (x3 + 2x - 3).

  1. A5x3 - 12x2 + 16x + 3Correct
  2. B5x3 - 12x2 + 16x - 3
  3. C5x3 + 12x2 + 16x - 3
  4. D5x3 + 12x2 + 16x + 3

Answer: A. 5x3 - 12x2 + 16x + 3

Explanation

Given: Simplify: 6(x3 - 2x2 + 3x) - (x3 + 2x - 3) Concept Used: Distribute and combine like terms. Calculation: Expand the equation: → 6(x3 - 2x2 + 3x) - (x3 + 2x - 3) → 6x3 - 12x2 + 18x - x3 - 2x + 3 Combine like terms: → (6x3 - x3) + (-12x2) + (18x - 2x) + 3 → 5x3 - 12x2 + 16x + 3 ∴ The simplified expression is 5x3 - 12x2 + 16x + 3.

Source: RRB Group D 2022 Prev. Yr. Paper (18 Aug 2022) (Shift 3) - Prepp · reliable-secondary

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