Answer :
We are given the polynomials
[tex]$$7x^3 - 4x^2$$[/tex]
and
[tex]$$2x^3 - 4x^2.$$[/tex]
To find their sum, we add the coefficients of like powers of [tex]$x$[/tex].
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]
Thus, the sum of the polynomials is:
[tex]$$9x^3 - 8x^2.$$[/tex]
This is the final answer.
[tex]$$7x^3 - 4x^2$$[/tex]
and
[tex]$$2x^3 - 4x^2.$$[/tex]
To find their sum, we add the coefficients of like powers of [tex]$x$[/tex].
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]
Thus, the sum of the polynomials is:
[tex]$$9x^3 - 8x^2.$$[/tex]
This is the final answer.
