Answer:
[tex](x+y)(x-8y)[/tex]
Step-by-step explanation:
Given expression:
[tex]x^2-7xy-8y^2[/tex]
Rewrite the middle term as -8xy + xy:
[tex]\implies x^2-8xy+xy-8y^2[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies x(x-8y)+y(x-8y)[/tex]
Factor out the common term (x - 8y):
[tex]\implies (x+y)(x-8y)[/tex]
