Answer: The correct option is (c) [tex]10x^2-15x-7.[/tex]
Step-by-step explanation: We are given to simplify the following expression :
[tex]E=(7x^2-8x-4)+(-2x^2+3x+5)+(5x^2-10x-8)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To simplify the given expression, we need to operate the coefficients with same powers of the unknown variable x.
From (i), we get
[tex]E\\\\=(7x^2-8x-4)+(-2x^2+3x+5)+(5x^2-10x-8)\\\\=(7-2+5)x^2+(-8+3-10)x+(-4+5-8)\\\\=10x^2-15x-7.[/tex]
Thus, the required simplified answer is [tex]10x^2-15x-7.[/tex]
Option (c) is CORRECT.
