Simplify the Expression: 3m-14n-(7m-3n) Step by Step

3m14n(7m3n)=? 3m-14n-(7m-3n)=\text{?}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:06 Note, when multiplying a negative by a positive, the result is always negative
00:10 Note, when multiplying a negative by a negative, the result is always positive
00:18 Let's gather terms
00:29 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

3m14n(7m3n)=? 3m-14n-(7m-3n)=\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.

Thus we obtain the following equation:

3m14n7m+3n= 3m-14n-7m+3n=

Next we join the m coefficients:

3m7m=4m 3m-7m=-4m

We then join the n coefficients:14n+3n=11n -14n+3n=-11n

Finally we obtain:

4m11n -4m-11n

3

Final Answer

4m11n -4m-11n

Practice Quiz

Test your knowledge with interactive questions

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

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations