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Q.

State True/ False:


The factors of 3 (a−2b) 2 −5(a−2b)  is (a-2b)(3a-6b-5).


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a

True

b

False  

answer is A.

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Detailed Solution

The given expression is:
3 a−2b 2 −5 a−2b   Write prime factors of each term:
⇒3 a−2b 2 =3× a−2b × a−2b ⇒5 a−2b =5× a−2b  
HCF 3 a−2b 2 ,5 a−2b = a−2b  
Taking HCF common,
⇒3 a−2b 2 −5 a−2b ⇒ a−2b 3 a−2b −5 ⇒ a−2b 3a−6b−5  
Hence, factors of 3 a−2b 2 −5 a−2b = a−2b 3a−6b−5  .
Thus, the given statement is true.
Therefore, option 1 is correct.
 
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