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CBSE Class 9 Answered

Factorize    X^6  -7^3 -8
Asked by Apoorv | 17 Jun, 2014, 10:53: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space g i v e n space e x p r e s s i o n : x to the power of 6 minus 7 cubed minus 8 equals x to the power of 6 minus 7 cubed minus 2 cubed equals x to the power of 6 minus open parentheses 7 cubed plus 2 cubed close parentheses equals open parentheses x squared close parentheses cubed minus open parentheses 7 plus 2 close parentheses open parentheses 7 squared minus 7 cross times 2 plus 2 squared close parentheses space space space space u sin g space a cubed plus b cubed equals open parentheses a plus b close parentheses open parentheses a squared minus a b plus b squared close parentheses equals open parentheses x squared close parentheses cubed minus open parentheses 9 close parentheses open parentheses 39 close parentheses equals open parentheses x squared close parentheses cubed minus 351 equals open parentheses x squared close parentheses cubed minus 3 cubed cross times 13 equals open parentheses x squared close parentheses cubed minus open parentheses 3 3 root of 13 close parentheses cubed equals open parentheses x squared minus 3 3 root of 13 close parentheses open parentheses x to the power of 4 plus x squared cross times 3 3 root of 13 plus open parentheses 3 3 root of 13 close parentheses squared close parentheses space space space u sin g space a cubed minus b cubed equals open parentheses a minus b close parentheses open parentheses a squared plus a b plus b squared close parentheses equals open parentheses x squared minus 3 3 root of 13 close parentheses open parentheses x to the power of 4 plus 3 x squared 3 root of 13 plus 9 open parentheses 13 close parentheses to the power of 2 over 3 end exponent close parentheses equals open parentheses x minus open parentheses 3 3 root of 13 close parentheses to the power of 1 half end exponent close parentheses open parentheses x plus open parentheses 3 3 root of 13 close parentheses to the power of 1 half end exponent close parentheses open parentheses x to the power of 4 plus 3 x squared 3 root of 13 plus 9 open parentheses 13 close parentheses to the power of 2 over 3 end exponent close parentheses
Answered by Vimala Ramamurthy | 18 Jun, 2014, 09:31: AM

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