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2x^2-7x+5+6x^2+4x+2



8x^2-3x+7

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.

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