MathematicsFactorize 1-64a3-12a+48a2.

Factorize 1-64a3-12a+48a2.


  1. A
    (1-4a)3  
  2. B
    (1+4a)3   
  3. C
     (1-2a)3 
  4. D
    (1+2a)3 

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    Solution:

    Given, 1-64a3-12a+48a2.
    We know that the formula,
    (x+y)3=x3+y3+3xy(x+y)                             or
    (x+y)3=x3+y3+3x2y+3xy2. Rewriting the given polynomial,
      1-64a3-12a+48a2
    13+(-4a)3+3×12×(-4a)+3×1×a2            …. eq(i)
    Comparing eq(i) with the formula, we get,
    a=1, b = -4a,
    Therefore, eq(i) becomes,
    = 13+(-4a)3+3×12×(-4a)+3×1×a2
    = (1+(-4a))3
    = (1-4a)3
    Therefore, option 1 is correct.
     
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