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:T4b4,{"@context":"https://schema.org","@type":"QAPage","name":"A = x^8 - 1x^4 + 1 and B = y^4 - 1y^2 + 1. If x = 2 and y = 9, then w…","url":"https://vidyalelo.com/practice-question/a-x-pow-8-1x-pow-4-1-and-b-y-pow-4-1y-pow-2-1-if-x-2-and-y-9-then-what-is-the-value-of-a2-255106","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":"A = x^8 - 1x^4 + 1 and B = y^4 - 1y^2 + 1. If x = 2 and y = 9, then w…","text":"A = x^8 - 1x^4 + 1 and B = y^4 - 1y^2 + 1. If x = 2 and y = 9, then what is the value of A2 + 2AB + AB2?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option B. 98625. Answer & Solution Answer: Option B Solution: & A = x^8 - 1x^4 + 1 = ( x^4 + 1 ) ( x^4 - 1 ) ( x^4 + 1 ) = x^4 - 1 & B = y^4 - 1y^2 + 1 = ( y^2 + 1 ) ( y^2 - 1 ) ( y^2 + 1 ) = y^2 - 1 & x = 2,\\,\\,y = 9 & A = x^4 - 1 = ( 2 )^4 - 1 = 15 & B = y^2 - 1 = ( 9 )^2 - 1 = 80 & A^2 + 2AB…"}}}1d:T46f,

Answer & Solution

Answer: Option B

Solution:

$$\eqalign{ & A = \frac{{{x^8} - 1}}{{{x^4} + 1}} = \frac{{\left( {{x^4} + 1} \right)\left( {{x^4} - 1} \right)}