Respuesta :

(x^4 + x^3 + x^2 + x) - (x^4 - x^3 + x^2 -x)

x^4 + x^3 + x^2 + x - x^4 + x^3 - x^2 + x

2x^3 + 2x

Answer:

Difference of the polynomial [tex](x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)[/tex] is;[tex]2x^3+2x[/tex]

Step-by-step explanation:

Given the expression:  [tex](x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)[/tex]

Remove parenthesis, distributing negative sign we have;

[tex]x^4+x^3+x^2+x-x^4+x^3-x^2+x[/tex]

Combine like terms, and wrote in decreasing order of the exponents.

[tex]2x^3+2x[/tex]

Therefore, the difference of the given polynomial is; [tex]2x^3+2x[/tex]


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