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

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's simplify the expression.
00:09 First, identify the correct variables.
00:14 Next, use the commutative law to rearrange the variables.
00:22 Now, gather similar terms together.
00:31 And that's how we find the solution!

Step-by-step written solution

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1

Understand the problem

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

2

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 .

3

Final Answer

8a+18b 8a+18b

Practice Quiz

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Are the expressions the same or not?

\( 3+3+3+3 \)

\( 3\times4 \)

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