Question

factories the following x^8-y^8+x^4-Y^4​

Answer 1

Answer:

$(x^{4} + y^{4} +1)$(x² + y²)(x + y)(x - y)

Step-by-step explanation:

$x^{8} -y^{8} + x^{4} - y^{4}$ = [ $(x^{4})^2 - (y^{4})^2$ ] + $(x^{4} - y^{4})$ =

$(x^{4} + y^{4} )$ $(x^{4} - y^{4})$ + $(x^{4} - y^{4})$ = $(x^{4} + y^{4} +1)$ $(x^{4} - y^{4})$ =

$(x^{4} + y^{4} +1)$(x² + y²)(x² - y²) = $(x^{4} + y^{4} +1)$(x² + y²)(x + y)(x - y)