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Answer :
The correct simplification of (4x - 3)(3x^2 - 4x - 3) is 12x^3 - 25x^2 + 9.To simplify the expression (4x - 3)(3x^2 - 4x - 3), we need to multiply the two binomials together using the distributive property.
To simplify the expression, we will multiply each term in the first binomial (4x - 3) by each term in the second binomial (3x^2 - 4x - 3) and combine like terms.
Multiply the first term of the first binomial (4x) by each term in the second binomial:
4x * 3x^2 = 12x^3
4x * (-4x) = -16x^2
4x * (-3) = -12x
Multiply the second term of the first binomial (-3) by each term in the second binomial:
-3 * 3x^2 = -9x^2
-3 * (-4x) = 12x
-3 * (-3) = 9
Combine the like terms obtained from the multiplications:
12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9
Simplify further by combining like terms:
12x^3 - 25x^2 + 9
Therefore, the correct simplification of (4x - 3)(3x^2 - 4x - 3) is 12x^3 - 25x^2 + 9.
To learn more about distributive property click here:
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