Multiplying Binomials: (2x-1)(2x^2 +x-15) - Step-by-Step Solution

To multiply the binomials (2x-1) and (2x^2 + x - 15), we can use the distributive property. \n\nFirst, we multiply each term of the first binomial (2x-1) by the second binomial (2x^2 + x - 15):\n\n(2x)(2x^2 + x - 15) + (-1)(2x^2 + x - 15)\n\n= 4x^3 + 2x^2 - 30x + 2x^2 + x - 15\n\nNext, we combine like terms:\n\n= 4x^3 + (2x^2 + 2x^2) + (x - 30x) - 15\n\n= 4x^3 + 4x^2 - 29x - 15\n\nTherefore, the product of (2x-1) and (2x^2 + x - 15) is 4x^3 + 4x^2 - 29x - 15.