need help with this problem. I get confused when it should be neg or postive.

(2a+1)(5a-2)-2(a+3)+4
We need to see your work to know where you are getting stuck!

If you think of multiplication by a negative as changing the direction on the number line, then multiplying by a second negative will switch it back again. (-)*(-) = (+). [but there are no cases of (-)*(-) in this expression]

In the product of the first 2 binomials, if you use FOIL, the "O" term and the "L" term are both negative because they include multiplication by -2.

When you distribute the multiplication in the -2(a+3) term, the -2 multiplies everything inside the parentheses.
 
I get confused when it should be neg or postive.
(2a+1)(5a-2)-2(a+3)+4
I will guess that the instructions for this expression were something like "simplify". I will guess that your confusion relates to dealing with the "minus" signs when doing the multiplications, etc. If so, then there are lessons available online ( link ) which should prove helpful.

If you are having a particular issue with this particular exercise, we'll need to see your work so far, so we can figure out the source of the difficulty. Thank you! ;)
 
(2a+1)(5a-2)-2(a+3)+4

10a^2-4a+5a-2-2a-6+4

here two-ve make one positive

-ve x +ve is -ve
After expanding as you have done, you need to "collect like terms." There is only one term with a^2, so it stands. All terms with a can be combined into a single term, and all the constants can be combined into a single constant.

Even then you might not be finished. Can you test whether or not the trinomial you get can be factored? [I don't think it has rational factors in this case.]
 
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