Respuesta :
The subtraction in the standard form of the polynomial is [tex]\rm 7m^5-3m^2-3[/tex].
Given that
Expression; [tex]\rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6)[/tex].
We have to determine
The subtraction of a polynomial.
According to the question
Expression; [tex]\rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6)[/tex].
To find the subtraction of the polynomial follow all the steps given below.
- Step1; Write the expression as an additive inverse.
[tex]\rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6)\\\\\rm (6m^5 + 3 - m^3 -4m) +(m^5 -2m^3 +4m - 6)[/tex]
- Step2; Rewrite terms that are subtracted as the addition of the opposite.
[tex]\rm (6m^5 + 3 - m^3 -4m) +(m^5 -2m^3 +4m - 6)\\\\6m^5 + 3 + (-m^3) + (-4m) + m^5 + (2m^3) + 4m + (-6)[/tex]
- Step3; Group-like terms.
[tex]\rm 6m^5 + 3 + (-m^3) + (-4m) + m^5 + (2m^3) + 4m + (-6)\\\\(6m^5 + m^5) + [3 + (-6)] + [(-m^3) + (-2m^3)] + [(-4m) + 4m]\\\\[/tex]
- Step4; the resulting polynomial in standard form is,
[tex]\rm (6m^5 + m^5) + [3 + (-6)] + [(-m^3) + (-2m^3)] + [(-4m) + 4m]\\\\ 7m^5-3m^2-3[/tex]
Hence, the subtraction in the standard form of the polynomial is [tex]\rm 7m^5-3m^2-3[/tex].
To know more about Polynomial click the link given below.
https://brainly.com/question/26078031
