Answer: 2x^3 + 5x^2 - 10x + 15
Step-by-step explanation:
To multiply two polynomials, you can use the distributive property and multiply each term of one polynomial by each term of the other. In this case, the two polynomials are (2x - 3) and (x^2 + 4x - 5), so we have:
(2x - 3) * (x^2 + 4x - 5) =
2x * x^2 + 2x * 4x - 2x * 5 +(-3) * x^2 + (-3) * 4x - (-3) * 5
Expanding the products, we get:
2x^3 + 8x^2 - 10x - 3x^2 - 12x + 15
Combining like terms, we get: 2x^3 + 5x^2 - 10x + 15