Answer :
To add the two polynomials
[tex]$$7x^3 - 4x^2 \quad \text{and} \quad 2x^3 - 4x^2,$$[/tex]
we combine the like 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]
There are no [tex]$x$[/tex] or constant terms in either polynomial.
Thus, the sum of the two polynomials is:
[tex]$$9x^3 - 8x^2.$$[/tex]
[tex]$$7x^3 - 4x^2 \quad \text{and} \quad 2x^3 - 4x^2,$$[/tex]
we combine the like 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]
There are no [tex]$x$[/tex] or constant terms in either polynomial.
Thus, the sum of the two polynomials is:
[tex]$$9x^3 - 8x^2.$$[/tex]
