Simplify the Expression: 2a+3b-(4b-3a)

2a+3b−(4b−3a)=? 2a+3b-(4b-3a)=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's solve this problem together!
00:11 Remember, when we multiply a negative number by a positive number, the result is always negative.
00:19 And when we multiply a negative number by another negative number, the result becomes positive. Keep this in mind!
00:26 Next, let's gather all the terms so we can simplify the expression.
00:35 And there you have it—the solution to our question! Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

2a+3b−(4b−3a)=? 2a+3b-(4b-3a)=\text{?}

2

Step-by-step solution

We begin by addressing the parenthesis first:

Remember that:

When we multiply a positive number by a negative number, the result will be negative.

When we multiply a negative number by a negative number, the result will be positive.

Hence we obtain the following calculation:

2a+3b−4b+3a= 2a+3b-4b+3a=

We join together the a coefficients:

2a+3a=5a 2a+3a=5a

We then join together the b coefficients:

3b−4b=−b 3b-4b=-b

We obtain the following:

5a−b 5a-b

3

Final Answer

5a−b 5a-b

Practice Quiz

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\( 100-(5+55)= \)

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