Answer
$(x+y)(x+8)$.
Work Step by Step
The given polynomial is
$=x^2+xy+8x+8y$
Group the terms.
$=(x^2+xy)+(8x+8y)$
Factor each group.
$=x(x+y)+8(x+y)$
Factor out $(x+y)$.
$=(x+y)(x+8)$
Hence, the complete factor of the polynomial is $(x+y)(x+8)$.
