what is the difference of the polynomials?\n$(x^{4}+x^{3}+x^{2}+x)-(x^{4}-x^{3}+x^{2}-x)$\n$2x^{2}$\n$2x^{3}+…
what is the difference of the polynomials?\n$(x^{4}+x^{3}+x^{2}+x)-(x^{4}-x^{3}+x^{2}-x)$\n$2x^{2}$\n$2x^{3}+2x$\n$x^{6}+x^{2}$\n$2x^{6}+2x^{2}$
Answer
Explanation:
Step1: Remove parentheses
$(x^{4}+x^{3}+x^{2}+x)-(x^{4}-x^{3}+x^{2}-x)=x^{4}+x^{3}+x^{2}+x - x^{4}+x^{3}-x^{2}+x$
Step2: Combine like - terms
$(x^{4}-x^{4})+(x^{3}+x^{3})+(x^{2}-x^{2})+(x + x)=2x^{3}+2x$
Answer:
B. $2x^{3}+2x$