Find each sum or difference
(3x^2 + 7x- 2)+ (2x^2 - 3x + 4)
Answer: 5x^2 + 4x + 2
(4x + 8y) + (-7y + 3x)
Answer: 7x+1y
(x^2 + 4x - 1)+ (9x^2 - 8x + 9)
Answer: 10x^2 - 4x + 8
(8x + 6) - (2x - 1)
Answer: 6x+ 11
all are correct, except the last one. How did you get 6+1 to equal 11?
I'm sorry my answer is 6x + 7 is this right???
please read my correct answer
correct.
To find the sum or difference of algebraic expressions, such as the ones given, you need to combine like terms. Like terms have the same variable(s) raised to the same power(s).
Let's break down the steps for each expression:
1. (3x^2 + 7x - 2) + (2x^2 - 3x + 4)
To find the sum of these two expressions, you need to combine the like terms. Start by adding the coefficients of like terms:
(3x^2 + 2x^2) + (7x - 3x) + (-2 + 4)
Combine the coefficients:
5x^2 + 4x + 2
Therefore, the sum of the given expressions is 5x^2 + 4x + 2.
2. (4x + 8y) + (-7y + 3x)
Again, combine the like terms. Start by adding the coefficients of like terms:
(4x + 3x) + (8y - 7y)
Combine the coefficients:
7x + 1y
Since the coefficient of y is generally written as just y, the final answer is:
7x + y
3. (x^2 + 4x - 1) + (9x^2 - 8x + 9)
Combine the like terms by adding their coefficients:
(x^2 + 9x^2) + (4x - 8x) + (-1 + 9)
Simplify:
10x^2 - 4x + 8
Therefore, the sum of the given expressions is 10x^2 - 4x + 8.
4. (8x + 6) - (2x - 1)
To find the difference between these two expressions, distribute the negative sign inside the parentheses of the second expression:
8x + 6 - 2x + 1
Combine like terms by adding the coefficients:
(8x - 2x) + (6 + 1)
Simplify:
6x + 7
Therefore, the difference between the given expressions is 6x + 7.