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
Ooze test is used for the detection of ___
Price elasticity of supply of food products is generally
Which of the following materials were used for the reclamation of saline soil?
What is the main cause of the physiological disorder known as "Tirak" or "bad boll opening" in cotton?
Which of the following mechanisms do not encourage cross pollination?
Which microbe is most commonly used in beverage industry to ferment malted cereals to produce ethanol (for the preparation of beer, rum etc.)?
Which type of agriculture policy aims to provide subsidies and incentives to promote agriculture exports?
Identify the farming method that involves cultivating crops of different heights together on the same land.
Butter and animal fat are
ICAR – National Institute of Abiotic Stress management is located at ____
Relevant for Exams:
