Answer :
(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
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]