Question

Factor the trinomial completely. If the trinomial contains a greatest common factor​ (other than​ 1), factor out the GCF first.
x^2 - 7xy - 8y^2

Answer 1

Answer:

$(x+y)(x-8y)$

Step-by-step explanation:

Given expression:

$x^2-7xy-8y^2$

Rewrite the middle term as  -8xy + xy:

$\implies x^2-8xy+xy-8y^2$

Factor the first two terms and the last two terms separately:

$\implies x(x-8y)+y(x-8y)$

Factor out the common term (x - 8y):

$\implies (x+y)(x-8y)$