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Answer :
We start with the expression:
[tex]$$
(7x^3 - 4x^2) + (2x^3 - 4x^2).
$$[/tex]
Step 1. Identify like terms.
The terms with [tex]$x^3$[/tex] are [tex]$7x^3$[/tex] and [tex]$2x^3$[/tex].
The terms with [tex]$x^2$[/tex] are [tex]$-4x^2$[/tex] and [tex]$-4x^2$[/tex].
Step 2. Combine the like terms.
For the [tex]$x^3$[/tex] terms:
[tex]$$
7x^3 + 2x^3 = (7+2)x^3 = 9x^3.
$$[/tex]
For the [tex]$x^2$[/tex] terms:
[tex]$$
-4x^2 + (-4x^2) = (-4 - 4)x^2 = -8x^2.
$$[/tex]
Step 3. Write the final expression by putting the combined like terms together:
[tex]$$
9x^3 - 8x^2.
$$[/tex]
Therefore, the sum of the polynomials is:
[tex]$$
\boxed{9x^3 - 8x^2}.
$$[/tex]
[tex]$$
(7x^3 - 4x^2) + (2x^3 - 4x^2).
$$[/tex]
Step 1. Identify like terms.
The terms with [tex]$x^3$[/tex] are [tex]$7x^3$[/tex] and [tex]$2x^3$[/tex].
The terms with [tex]$x^2$[/tex] are [tex]$-4x^2$[/tex] and [tex]$-4x^2$[/tex].
Step 2. Combine the like terms.
For the [tex]$x^3$[/tex] terms:
[tex]$$
7x^3 + 2x^3 = (7+2)x^3 = 9x^3.
$$[/tex]
For the [tex]$x^2$[/tex] terms:
[tex]$$
-4x^2 + (-4x^2) = (-4 - 4)x^2 = -8x^2.
$$[/tex]
Step 3. Write the final expression by putting the combined like terms together:
[tex]$$
9x^3 - 8x^2.
$$[/tex]
Therefore, the sum of the polynomials is:
[tex]$$
\boxed{9x^3 - 8x^2}.
$$[/tex]
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