a²+b²+c²+2ab-2bc এর সাথে কত যোগ করলে যোগফল পূর্ণবর্গ হবে?

A -2ab

B 2bc

C 2ca

D -2ca

Solution

Correct Answer: Option D

 a²+b²+c²+2ab-2bc

=> (-a)+ (-b)+ c+ 2 (-a) (-b) + 2(-b).c + 2(-a).c + 2ac 

=> (-a)+ (-b)+ (c)+ 2ab - 2bc - 2ac + 2ac = 0 

=> (-a -b -c)+ 2ac = 0 

অর্থাৎ -2ac করলে যোগফল পূর্ণবর্গ হবে । 

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