LarrySonic55
LarrySonic55 LarrySonic55
  • 14-03-2019
  • Mathematics
contestada

Perform the indicated operation. (y4 - 1) ÷ (y + 1)

A.) y3 - y2 + y R - 1

B.) y3 - y2 + y - 1

C.) y3 - y2 - y

Respuesta :

LammettHash
LammettHash LammettHash
  • 14-03-2019

Factorize the numerator as a difference of squares:

[tex]y^4-1=(y^2-1)(y^2+1)=(y-1)(y+1)(y^2+1)[/tex]

Then if [tex]y\neq-1[/tex], the [tex]y+1[/tex] factors will cancel:

[tex]\dfrac{y^4-1}{y+1}=(y-1)(y^2+1)=y^3-y^2+y-1[/tex]

so the answer is B.

Answer Link
antonio201997 antonio201997
  • 14-03-2019

Answer is B.) y3 - y2 + y - 1

Answer Link

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