MathematicsState whether the following equation is true or false. (a−4)(a−2)= a 2 −6a−8  

State whether the following equation is true or false.


(a4)(a2)= a 2 6a8  


  1. A
    True
  2. B
    False 

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    Solution:

    We have to find whether the equation (a4)(a2)= a 2 6a8   is true or false.
    Using distributive law, we have,
    (AB)(AC)=A(AC)B(AC)  
    Let’s take A = a, B = 4, C = 2.
    Substituting the values in the identity, we get,
    (a4)(a2)=a(a2)4(a2)    (a4)(a2)= a 2 2a4a+8 (a4)(a2)= a 2 6a+8  
    Therefore, the given equation is false.
    Thus, the required correct equation is (a4)(a2)= a 2 6a+8  .
    Hence, option 2 is correct.
     
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