1c:I[1254,["7330","static/chunks/d3ac728e-78c3d5d7a486ed3a.js","5159","static/chunks/5159-48592f0bf1a47f9d.js","8175","static/chunks/8175-f84d59b9bd013e10.js","8167","static/chunks/8167-b25693a0140130f2.js","664","static/chunks/664-bceb0f356f9312eb.js","3703","static/chunks/app/practice-question/%5Bslug%5D/page-d1408559b663b83f.js"],"PracticeQuestionCard"] 1b:T4b7,{"@context":"https://schema.org","@type":"QAPage","name":"If x^3 + 3/x = 4 ( a^3 + b^3 ) and 3x + 1x^3 = 4 ( a^3 - b^3 ) , then…","url":"https://vidyalelo.com/practice-question/if-x-pow-3-frac-3x-4-a-pow-3-b-pow-3-and-3x-frac-1x-pow-3-4-a-pow-3-b-pow-3-then-a-pow-2-b-pow-2-is-equal-to-95161","keywords":"practice questions, MCQ, MCQs with answers, objective questions, competitive exam questions, Competitive Exams, Competitive Exams MCQ, Competitive Exams MCQs, Competitive Exams questions, Competitive Exams practice questions, Aptitude, Aptitude MCQ, Aptitude MCQs, Aptitude questions, Aptitude practice questions, Algebra","mainEntity":{"@type":"Question","name":"If x^3 + 3/x = 4 ( a^3 + b^3 ) and 3x + 1x^3 = 4 ( a^3 - b^3 ) , then…","text":"If x^3 + 3/x = 4 ( a^3 + b^3 ) and 3x + 1x^3 = 4 ( a^3 - b^3 ) , then a2 - b2 is equal to?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option C. 1. Answer & Solution Answer: Option C Solution: & x^3 + 3/x = 4 ( a^3 + b^3 )\\, . . . . . (i) & 3x + 1x^3 = 4 ( a^3 - b^3 )\\, . . . . . (ii) & Equation (i) + (ii) & ( x + 1/x )^3 = 8a^3 & x + 1/x = 2a\\, . . . . . (iii) & Equation (i) - (ii) & x - 1/x = 2b\\, . . . . . (iv) & Equatio…"}}}1d:T4e5,

Answer & Solution

Answer: Option C

Solution:

$$\eqalign{ & {x^3} + \frac{3}{x} = 4\left( {{a^3} + {b^3}} \right)\, . . . . . {\text{(i)}} \cr & 3x