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Answer :
To add the polynomials
[tex]$$
(7x^3 - 4x^2) + (2x^3 - 4x^2),
$$[/tex]
we first group and add the like terms.
1. For the [tex]\( x^3 \)[/tex] terms:
[tex]\[
7x^3 + 2x^3 = (7+2)x^3 = 9x^3.
\][/tex]
2. For the [tex]\( x^2 \)[/tex] terms:
[tex]\[
-4x^2 - 4x^2 = (-4-4)x^2 = -8x^2.
\][/tex]
Combining these results, we obtain the sum of the polynomials:
[tex]$$
9x^3 - 8x^2.
$$[/tex]
Thus, the answer is [tex]\( \boxed{9x^3 - 8x^2} \)[/tex].
[tex]$$
(7x^3 - 4x^2) + (2x^3 - 4x^2),
$$[/tex]
we first group and add the like terms.
1. For the [tex]\( x^3 \)[/tex] terms:
[tex]\[
7x^3 + 2x^3 = (7+2)x^3 = 9x^3.
\][/tex]
2. For the [tex]\( x^2 \)[/tex] terms:
[tex]\[
-4x^2 - 4x^2 = (-4-4)x^2 = -8x^2.
\][/tex]
Combining these results, we obtain the sum of the polynomials:
[tex]$$
9x^3 - 8x^2.
$$[/tex]
Thus, the answer is [tex]\( \boxed{9x^3 - 8x^2} \)[/tex].
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