4. Simplify the following expression.
\[
6 a^{4} c+8 a c^{2}-4 a^{4} c-15-10 a c^{2}
\]
$2 a^{4} c-2 a c^{2}$
$-4 a^{4} c+4 a c^{2}-30$
$2 a^{4} c-2 a c^{2}-15$
$2 a^{4} c+17 a c^{2}-15$

Answer

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Answer

$\boxed{2 a^{4} c - 2 a c^{2} - 15}$ is the simplified form of the given expression.

Steps

Step 1 ：Rearrange the expression to group the like terms together: $ (6 a^{4} c - 4 a^{4} c) + (8 a c^{2} - 10 a c^{2}) - 15 $

Step 2 ：Simplify each group of like terms: $ 2 a^{4} c - 2 a c^{2} - 15 $

Step 3 ：$\boxed{2 a^{4} c - 2 a c^{2} - 15}$ is the simplified form of the given expression.