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12) (8n - 3n^4 + 10n^2)-(3n^2 + 11n^4 - 7)

Question

  1. (8n - 3n^4 + 10n^2)-(3n^2 + 11n^4 - 7)

Explanation:

Step1: Remove parentheses

$8n - 3n^{4}+10n^{2}-3n^{2}-11n^{4}+7$

Step2: Combine like - terms of $n^{4}$

$(-3n^{4}-11n^{4})+8n+(10n^{2}-3n^{2}) + 7$
$=-14n^{4}+8n + 7n^{2}+7$

Step3: Rearrange terms in descending order of exponents

$-14n^{4}+7n^{2}+8n + 7$

Answer:

$-14n^{4}+7n^{2}+8n + 7$