Question

Factorise completely:
4x² + 8xy - xy - 2y²
2

Answer 1

(x + 2y)(4x - y)

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)