find the product using suitable identity -(x+1/x)(x-1/x)(x^2+1/x^2)(x^4+1/x^4)
Answers
Answered by
7
Answer:
(a+b)(a-b) =a²- b² in all cases
[x+1/x][x-1/x][x²+1/x²][x⁴+1/x⁴]
= [x²- 1/x²][x²+1/x²][x⁴+1/x⁴]
=[(x²)²- (1/x²)²][x⁴+1/x⁴]
=[x⁴- 1/x⁴][x+1/x⁴]
=(x⁴)² - (1/x⁴)²
=x⁸-1/x⁸
Similar questions