multiply. (simplify your answer completely.)
(5n^{4}-4n^{2})(2n^{4}-n^{2})

Question

Accepted Answer

# Explanation:
## Step1: Apply Distributive Property
Multiply $5n^4 - 4n^2$ with each term in $2n^4 - n^2$ separately.
$$
\begin{align*}
&(5n^4 - 4n^2)(2n^4 - n^2)\
=& 5n^4 \times 2n^4 + 5n^4 \times (-n^2) - 4n^2 \times 2n^4 - 4n^2 \times (-n^2)
\end{align*}
$$
## Step2: Multiply Coefficients and Exponents
For each term, multiply the coefficients and add the exponents of like bases (using $a^m \times a^n = a^{m + n}$).
$$
\begin{align*}
&5 \times 2 \times n^{4 + 4}+5 \times (-1) \times n^{4 + 2}-4 \times 2 \times n^{2 + 4}-4 \times (-1) \times n^{2 + 2}\
=& 10n^8 - 5n^6 - 8n^6 + 4n^4
\end{align*}
$$
## Step3: Combine Like Terms
Combine the terms with $n^6$.
$$
10n^8 + (-5n^6 - 8n^6) + 4n^4 = 10n^8 - 13n^6 + 4n^4
$$
# Answer:
$10n^8 - 13n^6 + 4n^4$

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QUESTION IMAGE

Question

Explanation:

Step1: Apply Distributive Property

Step2: Multiply Coefficients and Exponents

Step3: Combine Like Terms

Answer: