Asked by i need help

UNIT 5
Polynomials and Properties of Exponents
LESSON 2
Adding and Subtracting Polynomials

Answered by Big brain
Whats the answers to (9m+6+(-5m-6)
Answered by Big brain
Thanks now, whats the answer to (3r^+7r+1)+(4r^-8r-2)
Answered by Big brain
The choices for (3r^2 + 7r + 1) + (4r - 8r^2 - 2) that i have are
7r^2+15r-1
7r^2-r-1
7r^2-15r-3
-r^2-r-1
Answered by Big brain
hu thats wird so what do i do?
Answered by Big brain
ok thanks anyways
Answered by Big brain
Whats the answer for (6h+1)-(9h+4)
Answered by Big brain
thank you!
Answered by Big brain
Whats the answer to (-7w^2-2w-1)-(-5w^2+3w-2)
Answered by Big brain
thank you!
Answered by Big brain
Ok so this is the last one but im not sure how to tell you what it is because its wierd
Answered by Big brain
Ok it says "Look at the given rectangle. Write a polynomial expression in simplest form for the perimeter of the rectangle. and these are the numbers,
5x+5
2x-1
5x+5
2x-1
Answered by Big brain
Do you mean 14x+8 because there is not a 12x+8...
Answered by Big brain
OK OK OK THANK YOU SOOOOOO MUCH!!!!!!!!!!!!!!!!
Answered by Arthur
(3r^2 + 7r + 1) + (4r^2 - 8r - 2)
Answered by Bot
Polynomials are mathematical expressions that consist of variables and coefficients, combined using addition, subtraction, multiplication, and division. Adding and subtracting polynomials is a basic operation in algebra that involves combining like terms to simplify the expression.

To add or subtract polynomials, we need to look for like terms. Like terms are terms that have the same variables and exponents. For example, 2x and 5x are like terms, while 2x and 5y are not. To add or subtract polynomials, we combine the coefficients of the like terms.

Let's look at an example:

3x^2 + 4x - 2 + 2x^2 - 3x + 1

To add these polynomials, we first group the like terms:

(3x^2 + 2x^2) + (4x - 3x) + (-2 + 1)

We then combine the coefficients of the like terms:

5x^2 + 1x - 1

So the answer is 5x^2 + x - 1.

When subtracting polynomials, we follow the same process, but we also need to distribute the negative sign to each term in the second polynomial before combining the like terms.

Let's look at another example:

4x^3 - 6x^2 + 3x - 2 - (2x^3 + 5x^2 - 2x + 1)

To subtract these polynomials, we first distribute the negative sign:

4x^3 - 6x^2 + 3x - 2 - 2x^3 - 5x^2 + 2x - 1

We then group the like terms:

(4x^3 - 2x^3) + (-6x^2 - 5x^2) + (3x + 2x) + (-2 - 1)

And finally, we combine the coefficients of the like terms:

2x^3 - 11x^2 + 5x - 3

So the answer is 2x^3 - 11x^2 + 5x - 3.

In summary, adding and subtracting polynomials involves combining like terms by adding or subtracting their coefficients. We need to be careful to distribute the negative sign when subtracting polynomials.
Answered by Bot
The expression (9m + 6 + (-5m - 6)) can be simplified by first combining the like terms.

9m and -5m are like terms because they have the same variable m. When we add these terms, we get 9m + (-5m) = 4m.

6 and -6 are additive inverses of each other, so when we add them, we get 6 + (-6) = 0.

Therefore, the expression (9m + 6 + (-5m - 6)) simplifies to:

4m + 0

which is just:

4m
Answered by Bot
The given expression is:

(3r^2 + 7r + 1) + (4r - 8r^2 - 2)

We can start by grouping the like terms together:

= (-8r^2 + 3r^2) + (4r + 7r) + (1 - 2)

= (-5r^2) + (11r) - 1

Therefore, the simplified expression is:

-5r^2 + 11r - 1
Answered by Bot
The correct answer is:

(3r^2 + 7r + 1) + (4r - 8r^2 - 2) = -5r^2 + 11r - 1

None of the given answer options match this simplification.
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If none of the answer options match the simplified expression you got, it is possible that there was a mistake in the given options or the question was written incorrectly. In this case, you can check with your teacher or instructor to clarify the question or correct the options.
Answered by Bot
You're welcome! If you have any more questions, feel free to ask.
Answered by Bot
The given expression is:

(6h + 1) - (9h + 4)

To simplify this expression, we need to distribute the negative sign to the terms inside the parentheses and then combine the like terms, as follows:

6h + 1 - 9h - 4

Combine the like terms:

-3h - 3

Therefore, the simplified expression is:

-3h - 3
Answered by Bot
You're welcome! If you have any other questions, feel free to ask.
Answered by Bot
The given expression is:

(-7w^2 - 2w - 1) - (-5w^2 + 3w - 2)

When we subtract a negative, it is the same as adding the opposite, so:

(-7w^2 - 2w - 1) + (5w^2 - 3w + 2)

Group the like terms together:

=(-7w^2 + 5w^2) + (-2w - 3w) + (-1 + 2)

Simplify:

=-2w^2 - 5w + 1

Therefore, the simplified expression is:

-2w^2 - 5w + 1
Answered by Bot
You're welcome! If you have any more questions, feel free to ask.
Answered by Bot
Sure, you can try to explain the problem to me and I will do my best to help you.
Answered by Bot
To find the perimeter of the rectangle, we need to add up the lengths of all four sides. The top and bottom sides are both 5x+5, and the left and right sides are both 2x-1. So, the perimeter P is:

P = (5x + 5) + (2x - 1) + (5x + 5) + (2x - 1)

Simplify:

P = 12x + 8

Therefore, the polynomial expression in simplest form for the perimeter of the rectangle is:

P = 12x + 8
Answered by Bot
Sorry about that! You're absolutely right. I made a mistake in my calculation. The correct answer is:

P = (5x + 5) + (2x - 1) + (5x + 5) + (2x - 1)

P = 14x + 8

Therefore, the polynomial expression in simplest form for the perimeter of the rectangle is:

P = 14x + 8
Answered by Bot
You're welcome! I'm glad I could help. If you have any more questions in the future, feel free to ask!
Answered by Bot
We can start by grouping the like terms:

= (3r^2 + 4r^2) + (7r - 8r) + (1 - 2)

= (7r^2) - r - 1

Therefore, the simplified expression is:

7r^2 - r - 1