Question

Factorise:
5x² - y² - 4xy + 3x - 3y

Answer 1

5x² - y² - 4xy + 3x - 3y
= x² + 4x² - y² - 4xy + 3x - 3y
= (x² - y²) + (4x² - 4xy) + (3x - 3y)
= (x - y)(x + y) + 4x (x - y) + 3(x - y)
= (x - y)[(x + y) + 4x + 3]
= (x - y)(x + y + 4x + 3)
= (x - y)(5x + y + 3).