Question

Factorise: 2xy - x +z - 2zy

Answer 1

Step-by-step explanation:

Split 2xy - x + z - 2yz

into two 2-term polynomials

- x + 2xy and + z - 2yz

This partition looks good☺

Pull out from each binomial separately

- x + 2xy = + x • (-1 + 2y)

+ z - 2yz = - z • (-1 + 2y)

Add up to arrive at the desired factorisation.

(x - z) • (-1 + 2y)

Answer 2

Answer:

2xy-x+z-2zy

=x(2y-1)+2(1-2y)

=x(2y-1)-z(2y-1)

=(x-z) (2y-1)