Question
The HCF of a^6 - 1 and a^4+ 2a^3- 2a-1 is
Solution
a^6- 1 = (a^2)³ - 1³ Using the formula, x³-y³=(x-y)(x^2+ y^2+xy) (a^2)³ - 1³ = (a^2- 1) (a^4+ 1+ a^2 ×1) = (a^2- 1) (a^4+ 1+ a^2) ......................................(i) a^4+ 2a³-2a-1 = a^(4 )– 1+2a(a^2- 1) = (a^2)²- 1²+2a(a^2- 1) = (a^2 + 1) (a²-1) +2a(a^2- 1) = (a^2- 1) (a^2 + 1 +2a) ..........................................(ii) From equation (i) and (ii) HCF is the common term = a^2- 1
Who served as the chairman of the Constitution's Steering Committee?Â
Appointments for all India Services are made by:
Who was the founder of the Tuglaq dynasty?
In which year was Karnataka formed as Mysore State following the passage of the States Reorganisation Act?Â
Who among the following is NOT appointed by the State Governor?
In the Indian Constitution, which Article outlines the responsibilities and duties of the Comptroller and Auditor General of India?
Which one of the following writs is issued during the pendency of Proceedings in a court?
...Which of the following statements regarding constitutional amendment is/are correct?
1. The procedure for amendment to the Constitution is provid...
Which of the following is a condition for becoming a member of the Lok Sabha in India?
During which period did India implement the Fifth Five-Year Plan?
Relevant for Exams:
