Explanation:
First we have to order the polynomials between parenthesis:
[tex](12x^5-8x^4+10x^3-6x+4)-(7x^5+2x^4-5x^3+x^2+6x-12)^{}[/tex]
Then we have to eliminate the parenthesis by multiplyin each term of the second polynomial by -1:
[tex]12x^5-8x^4+10x^3-6x+4-7x^5-2x^4+5x^3-x^2-6x+12[/tex]
Now we have to add like terms:
[tex]\begin{gathered} (12x^5-7x^5)+(-8x^4-2x^4)+(10x^3+5x^3)+(-x^2)+(-6x-6x)+(4+12) \\ (5x^5)+(-10x^4)+(15x^3)+(-x^2)+(-12x)+(16) \end{gathered}[/tex]
Finally we eliminate the parenthesis of each term
Answer:
[tex]5x^5-10x^4+15x^3-x^2-12x+16[/tex]
