Question
If a + b + c = 11, ab + bc + ca = 3 and abc = -135, then
what is the value of a³ + b³ + c³ ?Solution
=> a3 + b3 + c3 – 3abc = (a + b + c) [(a + b + c)2 – 3(ab + bc + ca)] => a3 + b3 + c3 – 3(-135) = 11 [(11)2 – 3(3)] => a3 + b3 + c3 + 405 = 1232 => a3 + b3 + c3 = 1232 – 405 => => a3 + b3 + c3 = 827
- How many individuals have received the Prani Mitra Award since its inception in 1966?
Which of the following is India’s first dedicated platform for innovation, curation, and venture development for the burgeoning space entrepreneurial ...
How much allocation was made for the PM eBus Sewa-Payment Security Mechanism scheme by the Union Cabinet?
- According to the EY Report, what is India’s projected GDP growth for FY26?
The National Stock Exchange (NSE) and BSE have announced revisions in Enhanced Surveillance Measures (ESM) framework, which was introduced last month ...
According to the naval construction details, INS Anjadip was constructed at which shipyard?
Match the following rivers with their respective tributaries:
Identify the correct statement:
1. CSIR operates under the Union Ministry of Science and Technology.
2. The President of CSIR is the Prime...
What historic event does International Asteroid Day on 30 June commemorate?
Which state tableau won one of the top three positions in the “Best Tableaux – States/Union Territories” category at the Republic Day Parade 2026?...
Relevant for Exams:
