Solve: Combining Like Terms in 5a + 3a + 8b + 10b

Question

5a+3a+8b+10b=? 5a+3a+8b+10b=\text{?}

Video Solution

Solution Steps

00:00 Simplify the expression
00:03 Mark the appropriate variables
00:08 Use the commutative law and arrange the appropriate variables together
00:16 Collect like terms
00:25 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the like terms in the expression.
  • Step 2: Combine these like terms by adding their coefficients.

Now, let's work through each step:

Step 1: In the expression 5a+3a+8b+10b5a + 3a + 8b + 10b, we have two types of like terms:

  • Terms involving aa: 5a5a and 3a3a.
  • Terms involving bb: 8b8b and 10b10b.

Step 2: Combine like terms:

  • For the terms involving aa: Combine 5a+3a5a + 3a to get 8a8a.
  • For the terms involving bb: Combine 8b+10b8b + 10b to get 18b18b.

The simplified expression combining all the terms is 8a+18b8a + 18b.

Therefore, the solution to the problem is 8a+18b 8a + 18b .

Answer

8a+18b 8a+18b