Simplify 13x+4y-(6x-3y): Combining Like Terms in Algebraic Expressions

13x+4y(6x3y)=? 13x+4y-(6x-3y)=\text{?}

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Step-by-step video solution

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00:07 Let's solve this together!
00:10 Remember, when multiplying a negative number by a positive number, the result is always negative.
00:18 And, when multiplying two negative numbers, the result is always positive.
00:25 Now, let's group the factors carefully step by step.
00:36 Great job! That's the solution to our problem.

Step-by-step written solution

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1

Understand the problem

13x+4y(6x3y)=? 13x+4y-(6x-3y)=\text{?}

2

Step-by-step solution

To begin with we address the parenthesis:

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.

Thus we obtain the following:

13x+4y6x+3y= 13x+4y-6x+3y=

We then join the x coefficients:

13x6x=7x 13x-6x=7x

We join the y coefficients:

4y+3y=7y 4y+3y=7y

Lastly we obtain:

7x+7y 7x+7y

3

Final Answer

7x+7y 7x+7y

Practice Quiz

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

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