High School

Choose the correct simplification of [tex](5x^3 - 5x - 8)(2x^3 + 4x + 2)[/tex].

A. [tex]7x^3 + x - 6[/tex]
B. [tex]3x^3 - 9x - 10[/tex]
C. [tex]3x^3 + 9x + 10[/tex]
D. [tex]7x^3 - x - 6[/tex]

Answer :

The expression be (5x³ - 5x - 8) + (2x³ + 4x + 2) then we get 7x³ - x - 6.

What is an expression?

An expression exists as a set of terms connected utilizing the operations +, -, x or ÷, for example, 4x − 3 or 5 x 2 − 3xy + 17.

An equation exists as a statement with an equals sign, which states that two expressions exist equal in value, for example, 4b − 2 = 6.

The given expression is

(5x³ - 5x - 8) + (2x³ + 4x + 2)

simplifying the above equation, we get

5x³ - 5x - 8 + 2x³ + 4x + 2

Combine like terms,

(5x³ + 2x³) + (-5x + 4x) + (-8 + 2)

adding similar elements, we get

7x³ + (-x) + (-6)

7x³ - x - 6

Therefore, the simplified form of the given expression is 7x³ - x - 6.

To learn more about expression refer to:

https://brainly.com/question/723406

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The complete question is:

Choose the correct simplification of (5x³ − 5x − 8) + (2x³ + 4x + 2).