add or subtract (2x^2+6x+1)+(-7x^2+2x-3)
5x^2-4x-2
-5x^2+8x-2
5x^2-8x+2
-9x^2-8x+2
(3x^2-7x-4)-(6x^2-6x+1)
-3x^2-x-5
-3x^2-13x+5
9x^2-x+5
3x^2-13x-5
These are just practice problems. could someone help me figure out how to solve them and explain how they got the answer?
@Steve can you help me? or @Reed
No its right...
I'm here to help! Let's go through the solutions step by step.
For the first problem:
(2x^2+6x+1)+(-7x^2+2x-3)
To solve this, you simply add or subtract the coefficients of like terms. In this case, we have x^2 terms, x terms, and constant terms.
Starting with the x^2 terms:
2x^2 + (-7x^2) = -5x^2
Next, the x terms:
6x + 2x = 8x
Finally, the constant terms:
1 + (-3) = -2
So the sum is:
-5x^2 + 8x - 2
And that's our final answer!
For the second problem:
(3x^2-7x-4)-(6x^2-6x+1)
Again, we'll simplify this step by step.
Starting with the x^2 terms:
3x^2 - 6x^2 = -3x^2
Next, the x terms:
-7x - (-6x) = -7x + 6x = -x
Finally, the constant terms:
-4 - 1 = -5
So the difference is:
-3x^2 - x - 5
And that's our final answer!
I hope that helps! If you have any more questions, feel free to ask.
Sure! I'd be happy to help you solve these practice problems and explain how to get the answers. Let's start with the first one:
(2x^2+6x+1)+(-7x^2+2x-3)
To add these two polynomials, we need to combine like terms. Like terms have the same variable and exponent. Let's group the like terms together:
(2x^2 + (-7x^2)) + (6x + 2x) + (1 - 3)
Now, we can add or subtract the coefficients of the like terms separately:
-5x^2 + 8x - 2
So the answer is -5x^2 + 8x - 2.
Now, let's move on to the second problem:
(3x^2-7x-4)-(6x^2-6x+1)
Similarly, for subtraction, we need to distribute the negative sign to each term in the second polynomial:
3x^2 - 7x - 4 - 6x^2 + 6x - 1
Now, let's combine like terms by adding or subtracting the coefficients:
(-3x^2 - 7x^2) + (-7x + 6x) + (-4 - 1)
-10x^2 - x - 5
So the answer is -10x^2 - x - 5.
I hope this explanation helps you understand how to solve these problems. If you have any further questions, feel free to ask!
You can add or subtract like terms; i.e., like terms are the X^2 or the X or the numbers. Adding we get
2x^2+(-7x^2) = -5x^2
6x+(+2)2x = 8x
1+(-3) = -2
So the answer for the addition is
-5x^2+8x-2
For subtraction you do them this way
2x^2 -(-7x^2) = 2x^2+7x^2 = 9x^2
6x-(+2x) = 6x-2x=4x
etc