2x2 + 8 - 4x + 3x - 6x2 + 7
1. 8x2 - 7x + 15
2. -4x2 - x + 15
3. 4x2 + x + 15
4. 8x2 + 7x + 15
-4x2 - x + 15
explain why
To simplify the given expression, we need to combine like terms.
Starting with the terms that have variables:
- 2x2 - 6x2 = -8x2
- -4x + 3x = -x
And now adding the constant terms:
8 + 7 = 15
Putting everything together, we get:
-8x2 - x + 15
Therefore, option 2 (-4x2 - x + 15) is the correct answer.
To simplify the expression 2x^2 + 8 - 4x + 3x - 6x^2 + 7, combine like terms:
2x^2 - 6x^2 - 4x + 3x + 8 + 7
Now, combine the x^2 terms and the x terms:
(2x^2 - 6x^2) + (-4x + 3x) + (8 + 7)
-4x^2 - x + 15
Therefore, the simplified expression is -4x^2 - x + 15. Thus, the correct choice is option 2: -4x^2 - x + 15.