Question

The sum of 2 a - 3b and a+b is _

Answer 1

Answer:

3a-2b.

Step-by-step explanation:

(2a - 3b) + (a+b)

(2a + a) + (-3b+b)

3a + (-2b)

3a - 2b.

Answer 2

Question : Sum of (2a - 3b) + (a+b)

Given :

1st Term : 2a - 3b

2nd Term : a + b

Concept :

• Fundamental operation to be used : "+" (Addition)

• A quantity which has no fixed value but takes no various numerical values is called a variable. For example: If 3 is a constant and x is a variable, then 3 + x, 3 - x, 3/x, 3x, x/3, etc., are also variables. So, we conclude that the combination of a constant and a variable is always a variable.

Answer :

                                                                               

$\large\textt\boxed{{\bf{\left(2a-3b\right)+\left(a+b\right)=3a-2b}}}$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$=2a-3b+a+b$

$\mathrm{Group\:like\:terms}$

$=2a+a-3b+b$

$\mathrm{Add\:similar\:elements:}\:2a+a=3a$

$=3a-3b+b$

$\mathrm{Add\:similar\:elements:}\:-3b+b=-2b$

$=3a-2b$

                                                                               

Additional Information :

• Addition is  bringing two or more numbers (or things) together to make a new total.

• It is represented with sign : "+"

Regards :)