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Mathematics

(9x4 - 8x3 - 12x) x (3x) is equal to:

  1. 27x5 - 24x4 + 36x2

  2. 27x5 - 24x4 - 36x2

  3. 27x5 + 24x4 - 36x2

  4. 27x5 + 24x4 + 36x2

Algebraic Expressions

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Answer

(3x) ×\times (9x4 - 8x3 - 12x)

= 3x ×\times 9x4 - 3x ×\times 8x3 - 3x ×\times 12x

= 27x(4+1) - 24x(3+1) - 36x(1+1)

= 27x^5 - 24x^4 - 36x^2

Hence, option 2 is the correct option.

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