if a+b+c = 0 , the value of a2bc+b2ca+c2ab is - 

Created: 6 months ago | Updated: 5 days ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (10-11-2023) গণিত
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We have

(a3+b3+c3−3abc)=(a+b+c)×(a2+b2+c2−ab−bc−ac)

When a+b+c=0 [Given]

then, a3+b3+c3=3abc

⇒a3abc+b3abc+c3abc=3 [On dividing abc both sides]

⇒a2bc+b2ac+c2ab=3.

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