Answer:
C. Distributive Property; Commutative Property of Addition; Combine Like Terms.
Step-by-step explanation:
The procedure is described below:
1) [tex]-2\cdot (2\cdot x^{3}+4\cdot x^{2}-3)+5\cdot (x^{2}-2\cdot x -2)[/tex] Given.
2) [tex]-4\cdot x^{3}-8\cdot x^{2}+6 +5\cdot x^{2}-10\cdot x -10[/tex] Distributive Property.
3) [tex]-4\cdot x^{3}-8\cdot x^{2}+5\cdot x^{2}-10\cdot x + 6 - 10[/tex] Commutative Property of Addition.
4) [tex]-4\cdot x^{3}-3\cdot x^{2}-10\cdot x -4[/tex] Combine like terms.
Therefore, the correct answer is C.
