Question

simplify
$(7x^2 + x - 9) - (4x^2 - x - 2)$

Explanation:

Step1: Distribute the negative sign

We have the expression \((7x^2 + x - 9) - (4x^2 - x - 2)\). Distribute the negative sign to each term in the second polynomial: \(7x^2 + x - 9 - 4x^2 + x + 2\).

Step2: Combine like terms

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

Putting it all together, we get \(3x^2 + 2x - 7\).

Answer:

\(3x^2 + 2x - 7\)