I need help with this problem. I have to use the distributie property to write the expression without parantheses, then simplify if possible. It's been awhile since ive done this and I think i will understand once I see how it is written out. Thanks to anyone who replies.
Amy
-4(1-2m+n)+4
Multiply everything in the ( ) by -4.
-4+8m-4n + 4
Note the sign changes
Now gather terms. Check me
8m-4n
you have to bring the -4 into each number that is in the parenthesis by multiplication.
so you do -4 x 1, -4 x 2m, and -4 x n
you should get -4 + 8m - 4n
then add on the 4 at the end so you get
-4 + 8m -4n + 4
it simplifies to 8m - 4n since the positive and negative fours cancel
post back if u don't understand
To write the expression without parentheses using the distributive property, you need to distribute the -4 to each term within the parentheses.
Let's go step by step:
Start with the expression -4(1-2m+n)+4
First, distribute -4 to 1 within the parentheses:
-4 * 1 = -4
The expression now becomes -4 -4(2m-n)+4
Next, distribute -4 to -2m:
-4 * -2m = 8m
The expression now becomes -4 + 8m -4(n) + 4
Finally, distribute -4 to n:
-4 * n = -4n
The final expression without parentheses is -4 + 8m - 4n + 4
To simplify further, combine like terms:
-4 + 4 = 0
-4 + 4m - 4n
The simplified expression without parentheses is 8m - 4n.