Question

simplify the following expression.8a⁴c+8ac²-4a⁴c-15-10ac²

Answer 1

Given the following expression:

$8a^{4}c+8ac^{2}-4a^{4}c-15-10ac^{2}​$

You can follow the steps shown below in order to simplify it:

Step 1. You need to add the like terms (or combine like terms). Remember that like terms are defined as those terms whose variables and exponents are equal. Knowing this, you get:

$=(8a^{4}c-4a^{4}c)+(8ac^{2}-10ac^{2})-15​=4a^{4}c-2ac^{2}-15$

Step 2. You must check if the expression has a Greatest Common Factor (GCF) in order to factor it out. In this case it is not necessary to do it.

Then, the answer is:

$4a^4c-2ac^2-15$