Question

question
perform the operation.
\\((10x^2 - 7x + 7) - (4x^2 + 5x - 9)\\)

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial from the first, we distribute the negative sign to each term in the second polynomial:
$$(10x^2 - 7x + 7) - 4x^2 - 5x + 9$$

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

Combine the \(x^2\) terms: \(10x^2 - 4x^2 = 6x^2\)

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

Combine the \(x\) terms: \(-7x - 5x = -12x\)

Step4: Combine like terms for constant terms

Combine the constant terms: \(7 + 9 = 16\)

Answer:

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