Q:

What is the difference of the polynomials?(Picture attached)a. 2x^2b. 2x^3 + 2xc. x^6 + x^2d. 2x^6 + 2x^2

Accepted Solution

A:
Assignment: [tex]\bold{Simplify \ \left(x^4+x^3+x^2+x\right)-\left(x^4-x^3+x^2-x\right)}[/tex]<><><><><>Answer: [tex]\boxed{\bold{2x^3+2x}}[/tex]<><><><><>Explanation: [tex]\downarrow\downarrow\downarrow[/tex]<><><><><>[ Step One ] Remove Parenthesis (a) = a[tex]\bold{x^4+x^3+x^2+x-\left(x^4-x^3+x^2-x\right)}[/tex][ Step Two ] Rewrite [tex]\bold{-\left(x^4-x^3+x^2-x\right)}[/tex][tex]\bold{-x^4+x^3-x^2+x}[/tex][ Step Three ] Rewrite Equation[tex]\bold{x^4+x^3+x^2+x-x^4+x^3-x^2+x}[/tex][ Step Four ] Simplify [tex]\bold{x^4+x^3+x^2+x-x^4+x^3-x^2+x}[/tex][tex]\bold{2x^3+2x}[/tex][ Step Five ] Simplify[tex]\bold{2x^3+2x}[/tex]<><><><><><><>[tex]\bold{\rightarrow Rhythm \ Bot \leftarrow}[/tex]