Simplify: 3(9x3 - 6x2 + 30) -9(3x3 - 2x + 30)

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RRB Group D 1 Sept 2022 Shift 1 Official Paper
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  1. 18(x2 + x + 10)
  2. 18(x2 + x - 18)
  3. 18(x2 + x - 10)
  4. -18(x2 - x + 10)

Answer (Detailed Solution Below)

Option 4 : -18(x2 - x + 10)
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Detailed Solution

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Given:

f(x) = 3(9x3 - 6x2 + 30) -9(3x3 - 2x + 30)

Calculations:

⇒ 3(9x3 - 6x2 + 30) -9(3x3 - 2x + 30)

⇒ 27x3 - 18x2 + 90 - 27x3 +18x - 270

⇒ - 18x2 +18x + 90  -  270

⇒ - 18x2 +18x - 180

⇒ -18 (x-x+10).

Hence, 3(9x3 - 6x2 + 30) -9(3x3 - 2x + 30) is equal to -18 (x-x+10).

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