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Mathematics

(x3 - 5x2 + 3x + 2) - (6x2 - 4x3 + 3x + 5) is equal to:

  1. 5x3 + 11x2 - 2

  2. 5x3 - 11x2 + 3

  3. 5x3 - 11x2 - 3

  4. 5x3 + 11x2 + 3

Algebraic Expressions

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Answer

(x3 - 5x2 + 3x + 2) - (6x2 - 4x3 + 3x + 5)

= x3 - 5x2 + 3x + 2 - 6x2 + 4x3 - 3x - 5

= (x3 + 4x3) + (- 5x2 - 6x2) (+ 3x - 3x) + (2 - 5)

= 5x3 - 11x2 - 3

Hence, option 3 is the correct option.

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