Answer:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]
Step-by-step explanation:
Given
[tex]xy-4y+2x-8[/tex]
Required
Factor the expression
[tex]xy-4y+2x-8[/tex]
Group the expression
[tex](xy-4y)+(2x-8)[/tex]
Factor each group
[tex]y(x-4)+2(x-4)[/tex]
This gives:
[tex](y + 2)(x-4)[/tex]
Hence:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]