Question

What is the difference of the polynomials?

(Picture attached)

a. 2x^2

b. 2x^3 + 2x

c. x^6 + x^2

d. 2x^6 + 2x^2

Answer 1

Assignment:
`\bold{Simplify \ \left(x^4+x^3+x^2+x\right)-\left(x^4-x^3+x^2-x\right)}`

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Answer:
`\boxed{\bold{2x^3+2x}}`

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Explanation:
`\downarrow\downarrow\downarrow`

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[ Step One ] Remove Parenthesis (a) = a

`\bold{x^4+x^3+x^2+x-\left(x^4-x^3+x^2-x\right)}`

[ Step Two ] Rewrite
`\bold{-\left(x^4-x^3+x^2-x\right)}`

`\bold{-x^4+x^3-x^2+x}`

[ Step Three ] Rewrite Equation

`\bold{x^4+x^3+x^2+x-x^4+x^3-x^2+x}`

[ Step Four ] Simplify
`\bold{x^4+x^3+x^2+x-x^4+x^3-x^2+x}`

`\bold{2x^3+2x}`

[ Step Five ] Simplify

`\bold{2x^3+2x}`

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`\bold{\rightarrow Rhythm \ Bot \leftarrow}`