MathematicsFactorize 84-2r-2r2.

Factorize 84-2r-2r2.


  1. A
    -2(r+6)(r+7)
  2. B
    -2(r-6)(r+7)
  3. C
    -2(r-6)(r-7)
  4. D
    -2(r+6)(r-7) 

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    Solution:

    Given, 84-2r-2r2.
    Rewrite the expression by arranging the degree in descending order and taking -2 as common, we get,
    84-2r-2r2
    -2(r2+r-42)
    Factorize the equation by splitting the middle term whose sum is 1 and product is -42.
    -2(r2+7r-6r-42)
    -2(r(r+7)-6(r+7)) -2(r-6)(r+7)
    The factor is -2(r-6)(r+7).
    Therefore, option 2 is correct.
     
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