MathematicsWithout calculating the cubes, find the following value of 0.23-0.33+0.13.

Without calculating the cubes, find the following value of 0.23-0.33+0.13.


  1. A
    -0.801
  2. B
    -0.018
  3. C
    -0.108
  4. D
    -0.18 

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    Solution:

    The given expression is 0.23-0.33+0.13.
    Therefore, rewrite the given expression as,
    0.23-0.33+0.13=0.23+-0.33+0.13
    Using identity, a3+b3+c3=3abc+(a+b+c)a2+b2+c2-ab-bc-ca to solve the given expression
    substituting value of a = 0.2, b = -0.3 and c = 0.1 in a+b+c we get, a+b+c=0.2+-0.3+0.1=0.
    Hence, above formula reduces to a3+b3+c3=3abc.
    Therefore, we get,
    (0.2)3+(-0.3)3+(0.1)3=3(0.2)(-0.3)(0.1)
    (0.2)3+(-0.3)3+(0.1)3=-0.018
    Therefore, option 2 is  correct.
     
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