Theory:

When multiplying or dividing a monomial by a number, we multiply or divide only its coefficient.
Example:
6x5=30x;0,5zy2=zy;4x2:2=2x2
A binomial is an algebraic sum of monomials.
Example:
3x+2y;4xy6y2
When multiplying or dividing a binomial by a number, each term is multiplied or divided.
Example:
22x+4y=4x+8y;x+y23=3x3y2;(6x4y+c):2==3x2y+c2==3x2y+0,5c.
Actions with the like terms:
 
2x+5x+8y3y==2x¯+5x¯+8y¯¯3y¯¯==x+5y+5
Important!
Terms of binomials are often written in brackets. In this case, attention should be paid to the sign in front of the brackets:
 
+a+b=a+ba+b=ab
 
c(2ab)+2(xy)==c2a+b+2x2y