Question

question 5
simplify.
$(4x^2 - 3x + 2) - (2x^2 + 5x - 7)$
$\bigcirc\\ 2x^2 - 2x - 5$
$\bigcirc\\ 2x^2 - 8x + 9$
$\bigcirc\\ 2x^2 + 2x - 5$
$\bigcirc\\ 6x^2 + 2x - 5$

Explanation:

Step1: Remove parentheses

To simplify \((4x^2 - 3x + 2) - (2x^2 + 5x - 7)\), we first distribute the negative sign to the terms inside the second parentheses:
\(4x^2 - 3x + 2 - 2x^2 - 5x + 7\)

Step2: Combine like terms

• For the \(x^2\) terms: \(4x^2 - 2x^2 = 2x^2\)
• For the \(x\) terms: \(-3x - 5x = -8x\)
• For the constant terms: \(2 + 7 = 9\)

Putting it all together, we get \(2x^2 - 8x + 9\).

Answer:

B. \(2x^2 - 8x + 9\)