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Answer :
We are given the polynomials:
[tex]$$
P(x) = 7x^3 - 4x^2 \quad \text{and} \quad Q(x) = 2x^3 - 4x^2.
$$[/tex]
To find their sum, we add the corresponding terms.
1. For the [tex]$x^3$[/tex] terms:
[tex]$$
7x^3 + 2x^3 = 9x^3.
$$[/tex]
2. For the [tex]$x^2$[/tex] terms:
[tex]$$
-4x^2 + (-4x^2) = -8x^2.
$$[/tex]
Thus, the sum of the polynomials is:
[tex]$$
9x^3 - 8x^2.
$$[/tex]
Therefore, the answer is:
[tex]$$
\boxed{9x^3 - 8x^2}.
$$[/tex]
[tex]$$
P(x) = 7x^3 - 4x^2 \quad \text{and} \quad Q(x) = 2x^3 - 4x^2.
$$[/tex]
To find their sum, we add the corresponding terms.
1. For the [tex]$x^3$[/tex] terms:
[tex]$$
7x^3 + 2x^3 = 9x^3.
$$[/tex]
2. For the [tex]$x^2$[/tex] terms:
[tex]$$
-4x^2 + (-4x^2) = -8x^2.
$$[/tex]
Thus, the sum of the polynomials is:
[tex]$$
9x^3 - 8x^2.
$$[/tex]
Therefore, the answer is:
[tex]$$
\boxed{9x^3 - 8x^2}.
$$[/tex]
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