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During the factorization process from the point of view of a function, I have difficulty to see where some part gets converted.

Assuming we have the function

$$f(x)=2x^2+3x-1$$

When I want to evaluate as...

$$f(a+h)$$

Taken from my course textbook outlining this process to replace all $x$ to $a+h$.

The simplification procedure seems unclear to me:

$$f(a+h) = 2(a+h)^2+3(a+h)-1$$ $$f(a+h) = 2(a^2+2ah+h^2)+3(a+h)-1$$ $$f(a+h) = 2a^2+4ah+2h^2+3a+3h-1$$

The second line where Mostly when ... $2ah$ ... gets me confused.

What could be the explanation?

3 Answers 3