Question

What is the difference of the polynomials? (x4+x3+x2+x)-(x4-x3+x2-x)

Answer 1

Difference of the polynomial
`(x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)` is;
`2x^3+2x`

Explanation:

Given the expression:
`(x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)`

Remove parenthesis, distributing negative sign we have;

`x^4+x^3+x^2+x-x^4+x^3-x^2+x`

Combine like terms, and wrote in decreasing order of the exponents.

`2x^3+2x`

Therefore, the difference of the given polynomial is;
`2x^3+2x`

Answer 2

(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