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arpita ghosh

· started a discussion

· 1 Months ago

query (Question: 86187.0 )

answer should be 1 because everything gets cancelled

Question:
DIRECTIONS: What will come in place of question mark (?) in the following questions?
=?
Options:
A) 105 
B) 101        
C) 103        
D) 107  
E) None of these
Solution:
Ans: (b)
\( a^3 + b^3 + c^2 – 3abc\)
= \((a+b+c)(a^2+b^2+c^2-ab-bc-ca)\)
\(\therefore\) \(\cfrac{a^3+b^3+c^3-3abc}{a^2+b^2+c^2-ab-bc-ca}\)
\(\therefore\) \(\cfrac{24^3+32^3 +45^3-3\times24\times32\times45}{24^2+32^2 +45^2-\times24\times32-32\times45-24\times45}\)
= 24 + 32 + 45 = 101

REMYA

· commented

· 1 Months ago

expln pls
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