Answer :
To add the polynomials
[tex]$$7x^3 - 4x^2 \quad \text{and} \quad 2x^3 - 4x^2,$$[/tex]
we follow these steps:
1. Combine the [tex]$x^3$[/tex] terms:
The [tex]$x^3$[/tex] terms are [tex]$7x^3$[/tex] and [tex]$2x^3$[/tex]. Their sum is:
[tex]$$7x^3 + 2x^3 = 9x^3.$$[/tex]
2. Combine the [tex]$x^2$[/tex] terms:
The [tex]$x^2$[/tex] terms are [tex]$-4x^2$[/tex] and [tex]$-4x^2$[/tex]. Their sum is:
[tex]$$-4x^2 - 4x^2 = -8x^2.$$[/tex]
3. Write the final result:
Combining the sums of the like terms, the sum of the given polynomials is:
[tex]$$9x^3 - 8x^2.$$[/tex]
Thus, the sum of the polynomials is
[tex]$$\boxed{9x^3 - 8x^2}.$$[/tex]
[tex]$$7x^3 - 4x^2 \quad \text{and} \quad 2x^3 - 4x^2,$$[/tex]
we follow these steps:
1. Combine the [tex]$x^3$[/tex] terms:
The [tex]$x^3$[/tex] terms are [tex]$7x^3$[/tex] and [tex]$2x^3$[/tex]. Their sum is:
[tex]$$7x^3 + 2x^3 = 9x^3.$$[/tex]
2. Combine the [tex]$x^2$[/tex] terms:
The [tex]$x^2$[/tex] terms are [tex]$-4x^2$[/tex] and [tex]$-4x^2$[/tex]. Their sum is:
[tex]$$-4x^2 - 4x^2 = -8x^2.$$[/tex]
3. Write the final result:
Combining the sums of the like terms, the sum of the given polynomials is:
[tex]$$9x^3 - 8x^2.$$[/tex]
Thus, the sum of the polynomials is
[tex]$$\boxed{9x^3 - 8x^2}.$$[/tex]
