Verified Answer :

the asnwer is C since the second one is infront of a negative change all the signs of ur 2nd trinomial thil will give you (7x2-4x+3) now add common like terms in the 2 trinomials 2x2 with 9x2 -9x with -4x and 2 with 3 to get 9x2 -13x+5

Hope this helps

Answer:

C. \(9x^2 - 13x + 5\)

Step-by-step explanation:

Given expression is,

\((2x^2-9x+2)-(-7x^2+4x-3)\)

By distributive property,

\(=2x^2-9x+2+7x^2-4x+3\)     ( (-).(-) = (+) and (-).(+)=(-) )

By combining like terms,

\(=(2+7)x^2-(9+4)x+(2+3)\)

\(=9x^2-13x+5\)

Hence,

\((2x^2-9x+2)-(-7x^2+4x-3)=9x^2-13x+5\)

Option C is correct.