Factoring expressions: 17x-34xy

17x (1-2y)

Step-by-step explanation:

1) so "x" is common in this expression so lets take that out first:

x (17-34y)

2) but 17 is also common since 17*2=34 so lets take "17" out:

17x (1-2y)

17x (1-2y)

17x-34xy

because both expressions have a x, it would be easier to factor out the x first. but because 17 is a factor of 34 you can simply divide 34 by 17 and get 2. so you put it together to this,

17x (1-2y)

Because, 17x times 1 is 17x but 17x times - 2y would be - 32xy.