College

Select the correct answer.

Simplify the expression \(-4x^2(3x - 7)\).

A. \(-12x^3 + 28x^2\)
B. \(-12x^3 - 28x^2\)
C. \(-12x^3 - 28\)
D. \(-12x^3 + 28\)

Answer :

Final answer:

To simplify the expression -4x²(3x - 7), distribute the -4x² to both terms inside the parentheses and simplify each term.


Explanation:

To simplify the expression -4x²(3x - 7), we need to distribute the -4x² to both terms inside the parentheses. This gives us -4x² * 3x and -4x² * -7. Simplifying each term, we get -12x³ + 28x². Therefore, the correct answer is -12x³ + 28x².


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