Find each product (4x - 5) (2x5 + x3 - 1)

8x^6-10x^5+4x^4-5x^3-4x+5

Step-by-step explanation:

Lest distribute the expression given

this is multiply the first term (4x) with the longer expression (2x^5+x^3-1) and then, multiply the second term (-5) with the longer expression (2x^5+x^3-1).

When the above is finish, simply sum all together.

4x * (2x^5+x^3-1) = 8x^6 + 4x^4-4x

-5 * (2x^5+x^3-1) = -10x^5-5x^3+5

The sum of all together (respecting the coefficient they belong) is shown:

8x^6-10x^5+4x^4-5x^3-4x+5