Question

select the correct answer.
simplify the following expression.
$(6x^2 - 9x - 4) - (2x^2 - 3x - 9)$

a. $4x^2 - 6x + 5$
b. $8x^2 - 6x + 5$
c. $4x^2 - 12x + 5$
d. $8x^2 - 6x + 13$

Explanation:

Step1: Distribute the negative sign

To simplify \((6x^2 - 9x - 4) - (2x^2 - 3x - 9)\), we first distribute the negative sign to each term inside the second parentheses:
\(6x^2 - 9x - 4 - 2x^2 + 3x + 9\)

Step2: Combine like terms for \(x^2\) terms

Combine the \(x^2\) terms: \(6x^2 - 2x^2 = 4x^2\)

Step3: Combine like terms for \(x\) terms

Combine the \(x\) terms: \(-9x + 3x = -6x\)

Step4: Combine constant terms

Combine the constant terms: \(-4 + 9 = 5\)

Step5: Write the simplified expression

Putting it all together, we get \(4x^2 - 6x + 5\)

Answer:

A. \(4x^2 - 6x + 5\)