Choose the correct simplification of the expression −3x2(5x − 4x2 − 6).
−7x4 + 2x3 − 9x2
12x4 − 15x3 + 18x2
12x4 + 15x3 + 18x2
−12x4 + 15x3 − 18x2
12x4 - 15x3 + 18x2
To simplify the expression −3x2(5x − 4x2 − 6), distribute the -3x^2 to each term inside the parentheses:
-3x^2 * 5x = -15x^3
-3x^2 * -4x^2 = 12x^4
-3x^2 * -6 = 18x^2
Combining these terms, the correct simplification of the expression is:
12x^4 - 15x^3 + 18x^2
Therefore, the correct option is 12x^4 - 15x^3 + 18x^2.