algebraic properties 4(m+n)+3(2m-5n)

Question

how do i do this 4(m+n)+3(2m-5n)

Answer 1

Hello, thank you for taking the time to post your question!

You want to use the order of operations in order to simplify this down, so that would mean starting by distributing the term outside of the parentheses to the inside terms

4(m + n) + 3(2m – 5n)

=4m + 4n + 6m – 15n

From there then you want to combine like terms to simplify as much as possible

=(4m + 6m) + (4n – 15n)

=10m – 11n

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

First, use the distributive property:  a*(x ± y) = ax ± ay

 

4(m+n)  +  3(2m-5n)

4m+4n  +   6m-15n

 

Now combine like-terms.  Like terms are terms whose variables and exponents are the same.  I'll group the like terms so you can see them.  I can move the terms around because of the commutative property of addition, which says that a+b = b+a; that is, you can move terms you're adding around without changing the result.

 

(4m + 6m) + (4n - 15n)

 

10m - 11n