Solve the Algebraic Expression: 12z + 3m - (m-z)

12z+3m(mz)=? 12z+3m-(m-z)=\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
00:07 Note, when multiplying negative by positive the result is always negative
00:12 Note, when multiplying negative by negative the result is always positive
00:20 Let's gather terms
00:25 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

12z+3m(mz)=? 12z+3m-(m-z)=\text{?}

2

Step-by-step solution

We begin by addressing 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.

Hence we obtain the following calculation:

12z+3mm+z= 12z+3m-m+z=

Next we join together the z coefficients:

12z+z=13z 12z+z=13z

We then join together the m coefficients:

3mm=2m 3m-m=2m

Finally we obtain the following:

13z+2m 13z+2m

3

Final Answer

13z+2m 13z+2m

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