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Q.

Factorize the expression 7x– 42.


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a

7×(x−6)  

b

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c

7×(x−2)  

d

7×(x−1)   

answer is A.

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Detailed Solution


The given expression is 7x−42.  
Finding the prime factorization:
7x=7×x 42=2×3×7   Therefore,
7x−42= 7×x − 2×3×7  
Regrouping the terms:
⇒7x−42= 7×x − 7×2×3  
Taking the common terms out:
⇒7x−12= 7 × x−2×3 ⇒7x−12=7× x−6  
Hence, the factorization of the expression 7x−42   equals to 7×(x−6).  
Hence, option 1 is correct.
 
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