What is the simplified form of this expression?
(5x2 + 2x + 11) − (7 + 4x − 2x2)
A.
3x2 − 2x + 4
B.
7x2 − 2x + 4
C.
3x2 + 6x + 4
D.
9 − 2x − 2x2
The simplified form of the expression is option A) 3x² - 2x + 4.
To simplify, we first distribute the negative sign on the second set of parentheses:
(5x² + 2x + 11) - 7 - 4x + 2x²
Next, we can combine like terms. Starting with the x² terms, we have:
5x² + 2x² = 7x²
Moving on to the x terms, we have:
2x - 4x = -2x
Finally, we can combine the constants:
11 - 7 = 4
So the simplified expression is:
7x² - 2x + 4
Which matches the first option.
To simplify the expression (5x^2 + 2x + 11) − (7 + 4x − 2x^2), we need to combine like terms.
First, distribute the negative sign to the terms inside the second parentheses:
(5x^2 + 2x + 11) - 7 - 4x + 2x^2
Next, combine like terms:
(5x^2 + 2x^2) + (2x - 4x) + (11 - 7)
Simplify each group of like terms:
7x^2 - 2x + 4
Therefore, the simplified form of the expression is 7x^2 - 2x + 4.
The answer is B.