I'm having a hard time in math, and every time I start my test my eyes glaze over. Can anyone please help me out?
(9m+6)+(-5m-6)
(3r^2+7r+1)+(4r^2-8r-2)
(6h+1)-(9h+4)
(-7w^2-2w-1)-(-5w^2 +3w-2)
see your other post below
Of course! I can help you step-by-step with your math questions.
1. Simplifying (9m+6)+(-5m-6):
Distribute the negative sign to the terms inside the parentheses: 9m + 6 - 5m - 6.
Combine like terms: (9m - 5m) + (6 - 6).
Simplify further: 4m + 0.
The simplified expression is 4m.
2. Simplifying (3r^2+7r+1)+(4r^2-8r-2):
Remove the parentheses: 3r^2 + 7r + 1 + 4r^2 - 8r - 2.
Combine like terms: (3r^2 + 4r^2) + (7r - 8r) + (1 - 2).
Simplify further: 7r^2 - r - 1.
The simplified expression is 7r^2 - r - 1.
3. Simplifying (6h+1)-(9h+4):
Distribute the negative sign to the terms inside the parentheses: 6h + 1 - 9h - 4.
Combine like terms: (6h - 9h) + (1 - 4).
Simplify further: -3h - 3.
The simplified expression is -3h - 3.
4. Simplifying (-7w^2-2w-1)-(-5w^2 +3w-2):
Distribute the negative sign to the terms inside the parentheses: -7w^2 - 2w - 1 + 5w^2 - 3w + 2.
Combine like terms: (-7w^2 + 5w^2) + (-2w - 3w) + (-1 + 2).
Simplify further: -2w^2 - 5w + 1.
The simplified expression is -2w^2 - 5w + 1.
I hope that helps! Let me know if you have any further questions.
Of course, I'd be happy to help you with these math problems! Let's break them down one by one.
Problem 1: (9m+6)+(-5m-6)
To simplify this expression, you need to combine like terms. In this case, the terms with m and the constant terms are separate.
First, distribute the negative sign through the parentheses:
(9m + 6) + (-5m - 6) = 9m + 6 - 5m - 6
Combine like terms:
9m + 6 - 5m - 6 = (9m - 5m) + (6 - 6) = 4m + 0 = 4m
The simplified expression is 4m.
Problem 2: (3r^2+7r+1)+(4r^2-8r-2)
Again, we need to combine like terms here.
(3r^2 + 7r + 1) + (4r^2 - 8r - 2) = 3r^2 + 7r + 1 + 4r^2 - 8r - 2
Combine like terms:
3r^2 + 7r + 1 + 4r^2 - 8r - 2 = (3r^2 + 4r^2) + (7r - 8r) + (1 - 2) = 7r^2 - r - 1
The simplified expression is 7r^2 - r - 1.
Problem 3: (6h+1)-(9h+4)
Once again, we need to combine like terms.
(6h + 1) - (9h + 4) = 6h + 1 - 9h - 4
Combine like terms:
6h + 1 - 9h - 4 = (6h - 9h) + (1 - 4) = -3h - 3
The simplified expression is -3h - 3.
Problem 4: (-7w^2 - 2w - 1) - (-5w^2 + 3w - 2)
Finally, let's combine the like terms in this expression.
(-7w^2 - 2w - 1) - (-5w^2 + 3w - 2) = -7w^2 - 2w - 1 + 5w^2 - 3w + 2
Combine like terms:
-7w^2 - 2w - 1 + 5w^2 - 3w + 2 = (-7w^2 + 5w^2) + (-2w - 3w) + (-1 + 2) = -2w^2 - 5w + 1
The simplified expression is -2w^2 - 5w + 1.
Remember, the key to simplifying expressions is to combine the like terms by adding or subtracting their coefficients. I hope this breakdown helps you better understand these problems! If you have any more questions, feel free to ask.