College

What is the sum of the polynomials?

[tex]\left(7x^3 - 4x^2\right) + \left(2x^3 - 4x^2\right)[/tex]

A. [tex]5x^3[/tex]
B. [tex]9x^3[/tex]
C. [tex]5x^3 - 8x^2[/tex]
D. [tex]9x^3 - 8x^2[/tex]

Answer :

Answer:

D

Step-by-step explanation:

given the sum

(7x³ - 4x² ) + (2x³ - 4x² )

distribute both parenthesis by 1

= 7x³ - 4x² + 2x³ - 4x² ← collect like terms

= (7x³ + 2x³ ) + (- 4x² - 4x² )

= 9x³ + (- 8x² )

= 9x³ - 8x²

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