(10m-n) - (6m+2n)?

Question

I thought that the negative between the parentheses changed the symbol that’s being subtracted to a positive. Wouldn’t this then be 10M + 6M? Then -n + -2n? The answer is 4m-3n can someone please spell it out for me. =)

Answer 1

OK -the negative before the second set of parentheses changes the sign of all INSIDE, so it becomes:

10m - n - 6m - 2n

That reduces to 4m - 3n

Answer 2

Your have the right idea.

your negative in front of teh 6m+2n distributes into that set of parentheses, so lets distribute it.

and you get: 10m-n-6m-2n

Now, just combine your like terms

aftercombine the 10m and the -6m you get 4m

after combining the -n and the -2n, you get -3n

So your final answer is 4m-3n

Answer 3

Think of the negative sign being a -1.
So, (10m-n)-1(6m+2n)

Distribute the -1 to everything in the 2nd().

So, (10m-n) -6m-2n

10m-6m=4m -n+-2n= -3n

the answer is 4m-3n

Answer 4

Basically the negative only affects things AFTER it. Think of it like multiplying whatever is after it by -1.

So you would get 10m - n - 6m - 2n.

Now combine like terms. 10 m - 6m - n - 2n = 4m - 3n.

Hope that helps and good luck :D

Answer 5

(10m-n) - (6m+2n) actually means

(10m - n) + (-1)(6m+2n)

Using the Distributive Property Of Multiplication we get

10m - n + (-6m - 2n)

Now its ok to take away the parenthesis to give us

10m - n - 6m - 2n

We get 4m - 3n

Answer 6

Your first step is to use distributive property:
10m-n-6m-2n
10m-6m-n-2n
4m-3n

Answer 7

(10m-n) - (6m+2n) may be re-written as
(10m-n) +(-6m-2n) or
10m-n-6m-2n which is
4m-3n

Answer 8

(10m-n)-(6m+2n)
=10m-n-6m-2n
=4m-3n