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

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