Question

Determine the factors of ax + ab + 2by + 2xy.

Answer 1

Answer: (x+b) (a+2y)

Explanation:

ax+ab+2by+2xy

split the equatuion in half

1. ax+ab 2. 2by+2xy

gcf=a gcf=2y

ax/a=x 2by/2y= b

ab/a=b 2xy/2y= x

a(x+b) 2y(x+b)

Answer :(x+b)(a+2y)

Answer 2

ax + ab + 2by + 2xy =(ax + ab) + (2by + 2xy)=

=a(x+b) + 2y(x+b) =(x+b)(a+2y)

ax + ab + 2by + 2xy = (x+b)(a+2y)