Answer:
(x + 2y)(4x - y)
Step-by-step explanation:
Factorize:
4x² + 8xy - xy - 2y²
4x² = 2 * 2 * x²
8xy = 2 * 2 * 2 * x * y
GCF = 4x
-xy = (-1) *x * y
-2y² = (-1)*2 * y*y
GCF = -y
From the first two terms, take 4x and from the third and fourth term, take (-y).
4x² + 8xy -xy - 2y² = 4x( x + 2y) -y(x + 2y)
=(x + 2y)(4x - y)
