Question 883891
First we need to find P(a+h)



{{{P(x)=x^2-5x}}}



{{{P(a+h)=(a+h)^2-5(a+h)}}}



{{{P(a+h)=a^2+2ah+h^2-5a-5h}}}



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Then we need to find P(h)



{{{P(x)=x^2-5x}}}



{{{P(h)=h^2-5h}}}



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Now subtract the two



{{{P(a+h)-P(h)=(a^2+2ah+h^2-5a-5h) - (h^2-5h)}}}



{{{P(a+h)-P(h)=a^2+2ah+h^2-5a-5h -h^2+5h}}}



{{{P(a+h)-P(h)=a^2+2ah-5a}}}