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Answer :
We start with the polynomial expression:
[tex]$$
\left(7x^3 - 4x^2\right) + \left(2x^3 - 4x^2\right)
$$[/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 polynomial expression.
After combining like terms, the final sum of the polynomials is:
[tex]$$
9x^3 - 8x^2
$$[/tex]
Thus, the answer is [tex]$\boxed{9x^3 - 8x^2}$[/tex].
[tex]$$
\left(7x^3 - 4x^2\right) + \left(2x^3 - 4x^2\right)
$$[/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 polynomial expression.
After combining like terms, the final sum of the polynomials is:
[tex]$$
9x^3 - 8x^2
$$[/tex]
Thus, the answer is [tex]$\boxed{9x^3 - 8x^2}$[/tex].
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