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Answer :
To add the two polynomials, follow these steps:
1. Write down the sum of the polynomials:
[tex]$$ (7x^3 - 4x^2) + (2x^3 - 4x^2). $$[/tex]
2. Group the like terms. The like terms are those with the same powers of [tex]$x$[/tex]. Here, group the [tex]$x^3$[/tex] terms and the [tex]$x^2$[/tex] terms:
[tex]$$ (7x^3 + 2x^3) + (-4x^2 - 4x^2). $$[/tex]
3. Add the coefficients for the [tex]$x^3$[/tex] terms:
[tex]$$ 7x^3 + 2x^3 = 9x^3. $$[/tex]
4. Add the coefficients for the [tex]$x^2$[/tex] terms:
[tex]$$ -4x^2 - 4x^2 = -8x^2. $$[/tex]
5. Combine the results to form the final sum:
[tex]$$ 9x^3 - 8x^2. $$[/tex]
Thus, the sum of the polynomials is
[tex]$$ \boxed{9x^3 - 8x^2}. $$[/tex]
1. Write down the sum of the polynomials:
[tex]$$ (7x^3 - 4x^2) + (2x^3 - 4x^2). $$[/tex]
2. Group the like terms. The like terms are those with the same powers of [tex]$x$[/tex]. Here, group the [tex]$x^3$[/tex] terms and the [tex]$x^2$[/tex] terms:
[tex]$$ (7x^3 + 2x^3) + (-4x^2 - 4x^2). $$[/tex]
3. Add the coefficients for the [tex]$x^3$[/tex] terms:
[tex]$$ 7x^3 + 2x^3 = 9x^3. $$[/tex]
4. Add the coefficients for the [tex]$x^2$[/tex] terms:
[tex]$$ -4x^2 - 4x^2 = -8x^2. $$[/tex]
5. Combine the results to form the final sum:
[tex]$$ 9x^3 - 8x^2. $$[/tex]
Thus, the sum of the polynomials is
[tex]$$ \boxed{9x^3 - 8x^2}. $$[/tex]
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