2.
2x²+ 8 - 4x + 3x - 6x² + 7
Simplifying this expression by combining like terms, we get:
-4x² - x + 15
2x^2+8-4x+3x-6x^2+7
2x^2+15-4x+3x-6x^2
2x^2+15-x-6x^2
-4x^2+15-x
Answer-(-4x^2-x+15)
Your answer is correct! Another way to write it is -4x^2 - x + 15.
3. 2x2 + 6x – 7x + 8 – 3x2 + 1 (1 point)
2x2 + x + 9
–2x2 – x – 9
–x2 – x + 9
x2 + 9
By combining like terms, we get:
(2x^2 - 3x^2) + (6x - 7x) + (8 + 1)
Simplifying further,
-x^2 - x + 9
So, the answer is option C: -x^2 - x + 9.
To simplify the given expression, let's first combine like terms. Like terms have the same variables raised to the same powers.
The given expression is:
2x² + 8 - 4x + 3x - 6x² + 7
Step 1: Combine the terms with the same variables and powers.
Combine the x² terms: 2x² - 6x² = -4x²
Combine the x terms: -4x + 3x = -x
Updated expression:
-4x² + 8 - x + 7
Step 2: Combine the constant terms.
Combine 8 and 7: 8 + 7 = 15
Final simplified expression:
-4x² - x + 15
Therefore, the simplified expression for 2x² + 8 - 4x + 3x - 6x² + 7 is -4x² - x + 15.