Question

select the correct answer. simplify: (3x² - 4x + 6) + (7x - 2) a. 10x² - 6x + 6 b. 3x² - 11x - 8 c. 3x² + 3x + 4 d. 3x² + 11x + 4

Explanation:

Step1: Remove parentheses

To simplify the expression \((3x^2 - 4x + 6)+(7x - 2)\), we first remove the parentheses. Since there is a plus sign in front of both parentheses, the signs of the terms inside remain the same. So we get \(3x^2 - 4x + 6+7x - 2\).

Step2: Combine like terms

• For the \(x^2\) term: There is only one \(x^2\) term, which is \(3x^2\).
• For the \(x\) terms: We have \(-4x\) and \(7x\). Combining these, we calculate \(-4x + 7x=3x\).
• For the constant terms: We have \(6\) and \(-2\). Combining these, we calculate \(6-2 = 4\).

Putting it all together, the simplified expression is \(3x^2+3x + 4\).

Answer:

C. \(3x^2 + 3x + 4\)