Question

select the correct answer. simplify the following expression. (6x² + 8x - 3) - (3x² - 6) a. 9x² + 8x + 9 b. 3x² + 8x - 3 c. 9x² + 8x - 3 d. 3x² + 8x + 3

Explanation:

Step1: Distribute the negative sign

To simplify \((6x^2 + 8x - 3) - (3x^2 - 6)\), we first distribute the negative sign to the terms inside the second parentheses. This gives us \(6x^2 + 8x - 3 - 3x^2 + 6\).

Step2: Combine like terms

Next, we combine the like terms. For the \(x^2\) terms: \(6x^2 - 3x^2 = 3x^2\). The \(x\) term remains \(8x\) since there are no other \(x\) terms to combine with it. For the constant terms: \(-3 + 6 = 3\). Putting it all together, we get \(3x^2 + 8x + 3\).

Answer:

D. \(3x^2 + 8x + 3\)