Find the product of : (x - 1/x), ( x + 1/x) , ( x2 - 1/x2) and ( x4 + 1/x4) ?

Asked by Vikas | 4th Jul, 2017, 10:16: AM

Expert Answer:

begin mathsize 16px style open parentheses straight x minus 1 over straight x close parentheses open parentheses straight x plus 1 over straight x close parentheses open parentheses straight x squared plus 1 over straight x squared close parentheses open parentheses straight x to the power of 4 plus 1 over straight x to the power of 4 close parentheses
equals open parentheses straight x squared minus 1 over straight x squared close parentheses open parentheses straight x squared plus 1 over straight x squared close parentheses open parentheses straight x to the power of 4 plus 1 over straight x to the power of 4 close parentheses
equals open parentheses straight x to the power of 4 minus 1 over straight x to the power of 4 close parentheses open parentheses straight x to the power of 4 plus 1 over straight x to the power of 4 close parentheses
equals open parentheses straight x to the power of 4 close parentheses squared minus open parentheses 1 over straight x to the power of 4 close parentheses squared
equals straight x to the power of 8 minus 1 over straight x to the power of 8 end style

Answered by Rashmi Khot | 4th Jul, 2017, 11:51: AM