Problem

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

Solution

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.

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Source: https://solvelyapp.com/problems/jkFTPa31mb/

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