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Answer :
We want to find the sum of the polynomials
[tex]$$
(7x^3 - 4x^2) + (2x^3 - 4x^2).
$$[/tex]
Step 1: Combine 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 2: Write the Final Result
Putting the combined results together, we get:
[tex]$$
9x^3 - 8x^2.
$$[/tex]
Thus, 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: Combine 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 2: Write the Final Result
Putting the combined results together, we get:
[tex]$$
9x^3 - 8x^2.
$$[/tex]
Thus, the sum of the polynomials is:
[tex]$$
\boxed{9x^3 - 8x^2}.
$$[/tex]
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