Question

What is the factors for `14x^2 y+ 4xy^2 +2xy`?

Answer 1

You must check what elements you have in common for all these three factors. Let's just expand them a little:

`7*color(green)(2)*color(blue)(x)*x*color(red)(y) + color(green)(2)*2*color(blue)(x)*color(red)(y)*y + color(green)(2)*color(blue)(x)*color(red)(y)`

Now, we can see that these elements (`2xy`) are multiplying all the three factors, as follows:

`color(green)(2)color(blue)(x)color(red)(y)(7x + 2y + 1)`