Question

Subtract these polynomials and simplify. (2 − 4x9 + 3x3) − (7x + x3 − 6 + 12x4)

Answer 1

Subtract each polynomial. Note that you combine like terms

(2 - 4x^9 + 3x^3) - (7x + x^3 - 6 + 12x^4)

Distribute the negative to all terms within the second parenthesis

(2 - 4x^9 + 3x^3) + (-7x - x^3 + 6 - 12x^4)

Combine like terms

4x^9 - 12x^4 + 2x^3 - 7x + 8 is your answer

hope this helps

Answer 2

Explanation:

`(2- 4x^9 + 3x^3) -(7x + x^3- 6 + 12x^4)`

start by distributing the negative sign on the second parenthesis

so we get

`(2- 4x^9 + 3x^3) -7x - x^3+ 6 - 12x^4)`

which simplifies to

`2- 4x^9 + 3x^3 -7x -x^3+6 - 12x^4`

By combining the like terms we get

`8- 4x^9 + 2x^3 -7x  - 12x^4`

rearrange the equation so the highest degree term is in starting so the answer is

`-4x^9-12x^4+2x^3-7x+8`