Question

what is the difference of the polynomials?
\\(\left(x^{4}+x^{3}+x^{2}+x\
ight)-\left(x^{4}-x^{3}+x^{2}-x\
ight)\\)
\\(\bigcirc\\ 2x^{2}\\)
\\(\bigcirc\\ 2x^{3}+2x\\)
\\(\bigcirc\\ x^{6}+x^{2}\\)
\\(\bigcirc\\ 2x^{8}+2x^{2}\\)

Explanation:

Step1: Remove parentheses

Distribute the negative sign: $x^4 + x^3 + x^2 + x - x^4 + x^3 - x^2 + x$

Step2: Combine like terms

$x^4 - x^4 + x^3 + x^3 + x^2 - x^2 + x + x = 2x^3 + 2x$

Answer:

B. $2x^3 + 2x$