Answer:
C. [tex]9x^2 - 13x + 5[/tex]
Step-by-step explanation:
Given expression is,
[tex](2x^2-9x+2)-(-7x^2+4x-3)[/tex]
By distributive property,
[tex]=2x^2-9x+2+7x^2-4x+3[/tex] ( (-).(-) = (+) and (-).(+)=(-) )
By combining like terms,
[tex]=(2+7)x^2-(9+4)x+(2+3)[/tex]
[tex]=9x^2-13x+5[/tex]
Hence,
[tex](2x^2-9x+2)-(-7x^2+4x-3)=9x^2-13x+5[/tex]
Option C is correct.