Answer
$h^2+2ah-7h$
Work Step by Step
Given:$f(x)=x^2-7x+2$
Plug $x=(a-1)$ in above equation, we have
$f(a-1)=(a-1)^2-7(a-1)+2=a^2-9a+10$
Now, $f(a+h)-f(a)=[(a+h)^2-7(a+h)+2]-[a^2-7a+2]$
This gives $=h^2+2ah-7h$
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