If a/b+b/a=-1 find a^3-b^3

Asked by daskousik2004 | 30th May, 2019, 10:05: AM

Expert Answer:

begin mathsize 16px style straight a over straight b plus space straight b over straight a space equals space minus 1
rightwards double arrow straight a squared space plus space straight b squared space equals space minus ab
rightwards double arrow straight a squared space plus space straight b squared space plus space ab space equals space 0 space.... space left parenthesis straight i right parenthesis
We space know space that comma
straight a cubed minus straight b cubed space equals space left parenthesis straight a space minus space straight b right parenthesis open parentheses straight a squared space plus space ab space plus space straight b squared close parentheses space
space space space space space space space space space space equals space left parenthesis straight a space minus space straight b right parenthesis space cross times space 0 space space space space.... space from space left parenthesis straight i right parenthesis
space space space space space space space space space space equals space 0 space
rightwards double arrow space space straight a cubed minus straight b cubed space space equals space 0 space end style

Answered by Yasmeen Khan | 30th May, 2019, 10:19: AM