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Answer :
To simplify the expression [tex]\(-4 x^3 - 12 x^3 + 9 x^2\)[/tex], follow these steps:
1. Identify like terms:
- We have two terms involving [tex]\(x^3\)[/tex] which are [tex]\(-4 x^3\)[/tex] and [tex]\(-12 x^3\)[/tex].
- We have one term involving [tex]\(x^2\)[/tex] which is [tex]\(9 x^2\)[/tex].
2. Combine like terms:
- For the [tex]\(x^3\)[/tex] terms: [tex]\(-4 x^3 - 12 x^3 = -16 x^3\)[/tex].
- The [tex]\(x^2\)[/tex] term [tex]\(9 x^2\)[/tex] remains as it is because there are no other [tex]\(x^2\)[/tex] terms to combine with.
3. Write the final simplified expression:
- Combining the results, the expression simplifies to [tex]\(-16 x^3 + 9 x^2\)[/tex].
Therefore, the correct equivalent expression is [tex]\(J. -16 x^3 + 9 x^2\)[/tex].
1. Identify like terms:
- We have two terms involving [tex]\(x^3\)[/tex] which are [tex]\(-4 x^3\)[/tex] and [tex]\(-12 x^3\)[/tex].
- We have one term involving [tex]\(x^2\)[/tex] which is [tex]\(9 x^2\)[/tex].
2. Combine like terms:
- For the [tex]\(x^3\)[/tex] terms: [tex]\(-4 x^3 - 12 x^3 = -16 x^3\)[/tex].
- The [tex]\(x^2\)[/tex] term [tex]\(9 x^2\)[/tex] remains as it is because there are no other [tex]\(x^2\)[/tex] terms to combine with.
3. Write the final simplified expression:
- Combining the results, the expression simplifies to [tex]\(-16 x^3 + 9 x^2\)[/tex].
Therefore, the correct equivalent expression is [tex]\(J. -16 x^3 + 9 x^2\)[/tex].
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