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(4x^5-15x^3-10x^2)-(2x^5-5x^3-2x^2)

So, the first thing we will do is add like terms. But before that, lets get rid of both parenthesis. We'll just get rid of the first pair, and for the second pair, we will multiple everything in the second parenthesis by -1

4x^5-15x^3-10x^2-2x^5+5x^3+2x^2

Now, we will add like terms.

2x^5-10x^3-8x^2

Now, there's a common factor that all of these terms share; it's 2x^2. 2x^5 can be divided by 2, as well as -10x^3 and -8x^2 (these are the coefficients, number found in front of the variable.) So, we'll distribute 2

2x^2(x^3-5x-4)    (we take the 2x^2 out by dividing all terms by 2x^2)

So, our answer would be

2x^2

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