Question

question 17 of 40
subtract \\((9s^2 + 2s - 9)\\) from \\((-8s^2 - 2s + 2)\\).

Explanation:

Step1: Write the subtraction expression

To subtract \((9s^2 + 2s - 9)\) from \((-8s^2 - 2s + 2)\), we write it as \((-8s^2 - 2s + 2)-(9s^2 + 2s - 9)\).

Step2: Distribute the negative sign

Distribute the negative sign to each term in the second polynomial: \(-8s^2 - 2s + 2 - 9s^2 - 2s + 9\).

Step3: Combine like terms

• For \(s^2\) terms: \(-8s^2-9s^2=-17s^2\)
• For \(s\) terms: \(-2s - 2s=-4s\)
• For constant terms: \(2 + 9 = 11\)

So the result is \(-17s^2-4s + 11\).

Answer:

\(-17s^2 - 4s + 11\)