Write down the product of (x² + x + 1) ( x²  -  x + 1) and ( x⁴- x² + 1)

Asked by sanjumaurya419 | 23rd May, 2021, 11:41: AM

Expert Answer:

open parentheses x squared plus x plus 1 close parentheses open parentheses x squared minus x plus 1 close parentheses open parentheses x to the power of 4 minus x squared plus 1 close parentheses
equals open square brackets open parentheses x squared plus 1 close parentheses squared minus x squared close square brackets open parentheses x to the power of 4 minus x squared plus 1 close parentheses
equals open square brackets x to the power of 4 plus 2 x squared plus 1 minus x squared close square brackets open parentheses x to the power of 4 minus x squared plus 1 close parentheses
equals open square brackets x to the power of 4 plus x squared plus 1 close square brackets open parentheses x to the power of 4 minus x squared plus 1 close parentheses
equals open parentheses x to the power of 4 plus 1 close parentheses squared minus x to the power of 4
equals x to the power of 8 plus 2 x to the power of 4 plus 1 minus x to the power of 4
equals x to the power of 8 plus x to the power of 4 plus 1

Answered by Renu Varma | 24th May, 2021, 03:43: PM