Answer :
Certainly! Let's solve the expression step-by-step:
We are given the expression:
[tex]\[
-4x^3 - 12x^3 + 9x^2
\][/tex]
Step 1: Combine like terms.
- The expression has terms that are similar: [tex]\(-4x^3\)[/tex] and [tex]\(-12x^3\)[/tex].
- Combine these terms by adding their coefficients:
[tex]\[
-4x^3 - 12x^3 = (-4 - 12)x^3 = -16x^3
\][/tex]
Step 2: Write the expression with the combined terms.
- After combining, the expression becomes:
[tex]\[
-16x^3 + 9x^2
\][/tex]
So, the expression [tex]\(-4x^3 - 12x^3 + 9x^2\)[/tex] simplifies to [tex]\(-16x^3 + 9x^2\)[/tex].
Therefore, the expression that is equivalent to the given one is:
J. [tex]\(-16x^3 + 9x^2\)[/tex]
We are given the expression:
[tex]\[
-4x^3 - 12x^3 + 9x^2
\][/tex]
Step 1: Combine like terms.
- The expression has terms that are similar: [tex]\(-4x^3\)[/tex] and [tex]\(-12x^3\)[/tex].
- Combine these terms by adding their coefficients:
[tex]\[
-4x^3 - 12x^3 = (-4 - 12)x^3 = -16x^3
\][/tex]
Step 2: Write the expression with the combined terms.
- After combining, the expression becomes:
[tex]\[
-16x^3 + 9x^2
\][/tex]
So, the expression [tex]\(-4x^3 - 12x^3 + 9x^2\)[/tex] simplifies to [tex]\(-16x^3 + 9x^2\)[/tex].
Therefore, the expression that is equivalent to the given one is:
J. [tex]\(-16x^3 + 9x^2\)[/tex]
