Question

subtract.
your answer should be a polynomial in standard form.
$(-9n^4 + 8) - (-9n^4 + 2n^3 + 5n^2) = $

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:
\((-9n^4 + 8) + 9n^4 - 2n^3 - 5n^2\)

Step2: Combine like terms

• For \(n^4\) terms: \(-9n^4 + 9n^4 = 0\)
• For \(n^3\) terms: \(-2n^3\) (no other \(n^3\) terms)
• For \(n^2\) terms: \(-5n^2\) (no other \(n^2\) terms)
• For constant terms: \(8\) (no other constant terms)

Combining these, we get: \(-2n^3 - 5n^2 + 8\)

Answer:

\(-2n^3 - 5n^2 + 8\)