Which of the following expressions is equivalent to [tex]$-4x^3 - 12x^3 + 9x^2$[/tex]?

A. [tex]$x^8$[/tex]
B. [tex]$-7x^8$[/tex]
C. [tex]$-8x^3 + 9x^2$[/tex]
D. [tex]$-16x^3 + 9x^2$[/tex]
E. [tex]$-16x^6 + 9x^2$[/tex]

Sure, let's simplify the expression step by step.

We have the expression: [tex]$-4x^3 - 12x^3 + 9x^2$[/tex].

1. Combine like terms for [tex]$x^3$[/tex]:

The terms [tex]$-4x^3$[/tex] and [tex]$-12x^3$[/tex] are like terms because they both contain [tex]$x^3$[/tex]. We can add them together:

[tex]$-4x^3 - 12x^3 = (-4 - 12)x^3 = -16x^3$[/tex].

2. Write the full simplified expression:

After combining the like terms, we add the [tex]$9x^2$[/tex] term:

[tex]$-16x^3 + 9x^2$[/tex].

The expression [tex]$-4x^3 - 12x^3 + 9x^2$[/tex] simplifies to [tex]$-16x^3 + 9x^2$[/tex]. Therefore, the answer is:

[tex]$-16x^3 + 9x^2$[/tex]

Which of the following expressions is equivalent to [tex]$-4x^3 - 12x^3 + 9x^2$[/tex]?A. [tex]$x^8$[/tex] B. [tex]$-7x^8$[/tex] C. [tex]$-8x^3 + 9x^2$[/tex] D. [tex]$-16x^3 + 9x^2$[/tex] E. [tex]$-16x^6 + 9x^2$[/tex]

Answer :

Other Questions

Which of the following expressions is equivalent to [tex]$-4x^3 - 12x^3 + 9x^2$[/tex]?

A. [tex]$x^8$[/tex]
B. [tex]$-7x^8$[/tex]
C. [tex]$-8x^3 + 9x^2$[/tex]
D. [tex]$-16x^3 + 9x^2$[/tex]
E. [tex]$-16x^6 + 9x^2$[/tex]