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Answer:

Option C is correct

[tex]3x^3-4x^2-10[/tex]

Step-by-step explanation:

Like terms are those terms which have same variable to the same power.

Find the difference of the following:

[tex](3x^3-2x^2+4)-(2x^2+14)[/tex]

Remove the parenthesis we get;

[tex]3x^3-2x^2+4-2x^2-14[/tex]

Combine like terms;

[tex]3x^3-4x^2-10[/tex]

Therefore, the difference of [tex](3x^3-2x^2+4)-(2x^2+14)[/tex] is, [tex]3x^3-4x^2-10[/tex]