Question 250003
if P(x)=2m^3+3, 
find P(2+h)-P(2) all over h 
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Write P(2+h) on one line:
2(2+h)^3 + 3
= 2[8 + 3h^2 + 3h + h^3] + 3
= 2h^3 + 6h^2 + 6h + 19
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Write P(2) on one line:
P(2) = 2(2^3)+3
P(2) = 19
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Write P(2+h)-P(2) on one line
= 2h^3 + 6h^2 + 6h + 19 - 19
= 2h^3 + 6h^2 + 6h
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Divide by h to get the final answer:
2h^2 + 6h + 6
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Cheers,
Stan H.