Question

subtract.
$(7w^4 + 6w) - (-9w^4 - 6w + 9)$

the difference is
(simplify your answer.)

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial, we distribute the negative sign to each term inside the parentheses:
$(7w^4 + 6w) - (-9w^4 - 6w + 9) = 7w^4 + 6w + 9w^4 + 6w - 9$

Step2: Combine like terms

• For the $w^4$ terms: $7w^4 + 9w^4 = 16w^4$
• For the $w$ terms: $6w + 6w = 12w$
• The constant term remains $-9$

Answer:

$16w^4 + 12w - 9$