Respuesta :
Answer: The correct option is
(D) [tex]8x^2-3x+7.[/tex]
Step-by-step explanation: We are given to subtract the following two quadratic expressions :
[tex]S=(2x^2-7x+5)-(-6x^2-4x-2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To subtract the given expressions, we should subtract the coefficients of the same powers of unknown variable x.
The subtraction (i) is as follows :
[tex]S\\\\=(2x^2-7x+5)-(-6x^2-4x-2)\\\\=2x^2-7x+5+6x^2+4x+2\\\\=8x^2-3x+7.[/tex]
Thus, the required answer is [tex]8x^2-3x+7.[/tex]
Thus, (D) is the correct option.