Help me factorise
 
a^6 - 64

Asked by tejvarun | 21st Jul, 2016, 04:36: PM

Expert Answer:

a to the power of 6 minus 64
equals a to the power of 6 minus 2 to the power of 6
equals open parentheses a cubed close parentheses squared minus open parentheses 2 cubed close parentheses squared
equals open parentheses a cubed minus 2 cubed close parentheses open parentheses a cubed plus 2 cubed close parentheses............ open square brackets S i n c e space x squared minus y squared equals open parentheses x minus y close parentheses open parentheses x plus y close parentheses close square brackets
equals open parentheses a minus 2 close parentheses left parenthesis a squared plus 2 a plus 4 right parenthesis open parentheses a plus 2 close parentheses left parenthesis a squared minus 2 a plus 4 right parenthesis......... open square brackets S i n c e space x cubed minus y cubed equals open parentheses x minus y close parentheses open parentheses x squared plus x y plus y squared close parentheses space space a n d space space x cubed space plus space y cubed equals open parentheses x plus y close parentheses open parentheses x squared minus x y plus y squared close parentheses close square brackets

Answered by Vijaykumar Wani | 21st Jul, 2016, 05:31: PM