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Answer :
We begin with the expression
[tex]$$-4x^2(3x-7).$$[/tex]
The first step is to apply the distributive property:
[tex]$$-4x^2(3x) + (-4x^2)(-7).$$[/tex]
Multiplying the terms gives:
[tex]$$-12x^3 + 28x^2.$$[/tex]
Thus, the simplified expression is
[tex]$$-12x^3 + 28x^2.$$[/tex]
Since this matches the third option, the correct answer is option C.
[tex]$$-4x^2(3x-7).$$[/tex]
The first step is to apply the distributive property:
[tex]$$-4x^2(3x) + (-4x^2)(-7).$$[/tex]
Multiplying the terms gives:
[tex]$$-12x^3 + 28x^2.$$[/tex]
Thus, the simplified expression is
[tex]$$-12x^3 + 28x^2.$$[/tex]
Since this matches the third option, the correct answer is option C.
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