High School

Simplify the following expression:

[tex]3x^4 + 2x^3 - 5x^2 + 4x^2 + 6x - 2x - 3x^4 + 7x^5 - 3x^3[/tex]

A. [tex]7x^5 + 6x^4 - x^3 - x^2 + 4x[/tex]

B. [tex]7x^5 - x^3 - x^2 + 4x[/tex]

C. [tex]7x^5 - 6x^4 + 5x^3 - x^2 + 4x[/tex]

D. [tex]10x^4 + x^3 + x^2 + 4x[/tex]

Answer :

Answer:

option B:

7x⁵ - x³ - x² + 4x

Step-by-step explanation:

given expression is:

3x⁴ + 2x³ - 5x² + 4x² + 6x - 2x - 3x⁴ + 7x⁵ - 3x³

= 3x⁴ + 2x³ - x² + 4x - 3x⁴ + 7x⁵ - 3x³

combining the like terms:

= 7x⁵ + 3x⁴ - 3x⁴ + 2x³ - 3x³ - x² + 4x

= 7x⁵ - x³ - x² + 4x

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