Answer :
Final answer:
The equivalent expression for -4x³ - 12x³ + 9x² is option d. -16x³ + 9x², found by combining the like terms of -4x³ and -12x³.The correct option is d. -16x³ + 9x².
Explanation:
To find an equivalent expression for -4x³ - 12x³ + 9x², we combine like terms. The like terms here are -4x³ and -12x³ which both contain the variable x³. Combining these terms gives us:
-4x³ - 12x³ = -16x³
So, now our expression is simplified to -16x³ + 9x².
There is no further simplification needed because 9x² does not have a like term to combine with. Therefore, our final answer is -16x³ + 9x², which corresponds to option d.
The correct option is d. -16x³ + 9x².
