Answer :
To add the two polynomials
[tex]$$7x^3 - 4x^2 \quad \text{and} \quad 2x^3 - 4x^2,$$[/tex]
we first group the like terms.
1. For the cubic terms ([tex]$x^3$[/tex]):
[tex]$$7x^3 + 2x^3 = (7+2)x^3 = 9x^3.$$[/tex]
2. For the quadratic terms ([tex]$x^2$[/tex]):
[tex]$$-4x^2 - 4x^2 = (-4-4)x^2 = -8x^2.$$[/tex]
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 first group the like terms.
1. For the cubic terms ([tex]$x^3$[/tex]):
[tex]$$7x^3 + 2x^3 = (7+2)x^3 = 9x^3.$$[/tex]
2. For the quadratic terms ([tex]$x^2$[/tex]):
[tex]$$-4x^2 - 4x^2 = (-4-4)x^2 = -8x^2.$$[/tex]
Thus, the sum of the two polynomials is
[tex]$$9x^3 - 8x^2.$$[/tex]
