Question

perform the operation.
answer attempt 1 out of 2
(10x^2 - 7x + 7) - (4x^2 + 5x - 9)

Explanation:

Step1: Distribute the negative sign

We have \((10x^2 - 7x + 7) - (4x^2 + 5x - 9)\). Distribute the negative sign to the second polynomial: \(10x^2 - 7x + 7 - 4x^2 - 5x + 9\).

Step2: Combine like terms

• For \(x^2\) terms: \(10x^2 - 4x^2 = 6x^2\)
• For \(x\) terms: \(-7x - 5x = -12x\)
• For constant terms: \(7 + 9 = 16\)

So, combining these, we get \(6x^2 - 12x + 16\).

Answer:

\(6x^2 - 12x + 16\)