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Q.

State true or false.


The factors of 32 x 4 −500x   are 4x 2x−5 4 x 2 +10x+25  .


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a

True

b

False 

answer is A.

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Detailed Solution

It is required to find whether 4x 2x−5 4 x 2 +10x+25   are the factors of 32 x 4 −500x  .
Factorize the expression using the identity,
x 3 − a 3 = x−a x 2 +ax+ a 2  
Use the above formula to obtain the following outcome,
32 x 4 −500x ⇒4x 8 x 3 −125 ⇒4x 2x 3 − 5 3 ⇒4x 2x−5 4 x 2 +10x+25  
Thus, the factors of 32 x 4 −500x   are 4x 2x−5 4 x 2 +10x+25  .
Thus, the given statement is true.
Therefore, option 1 is correct.
 
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