6x+3y+x i need help with this problem. i am studying for an exam tomorrow please help !!

The distributive property is easy to show in a simple example which, if used, allows people to do reasonably complicated computations in their head without any need to write them down.

Let's say someone asks you to compute 15*22. Well you can treat this as

15*22 = **15*(20+2) = 15*20+15*2** = 300+30 = 330

What I put in bold is what you would call the distributive property of multiplication with respect to addition.

More in general, using letterals,

**a*(b+c) = ab+ac**

In your problem, did you mean (6x+3y)*x ? In that case it would be 6x*x + 3y*x = 6x^{2} + 3xy