Question 687646


{{{f(x)=2x^2-5x+2}}}


{{{f(k-1)=2(k-1)^2-5(k-1)+2}}}


{{{f(k-1)=2(k^2-2k+1)-5k+5+2}}}


{{{f(k-1)=2k^2-4k+2-5k+5+2}}}


{{{f(k-1)=2k^2-9k+9}}}.....replace {{{-9k}}} with {{{-3k-6k}}}


{{{f(k-1)=2k^2-3k-6k+9}}}.....group


{{{f(k-1)=(2k^2-3k)-(6k-9)}}}


{{{f(k-1)=k(2k-3)-3(2k-3)}}}


{{{f(k-1)=(k-3)(2k-3)}}}