Another day, another math problem

Anthony Tuininga asked Aug 20, 2023

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16 votes

Anthony Tuininga asked Aug 20, 2023

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13 votes

Answer:

4x+2h+5

Explanation:

$((2(x+h)^(2)+5(x+h)) - (2x^(2) +5x) )/(h) \\$

For now I'm just going to ignore the denominator for simplicity

$(2(x^(2)+2xh+h^(2))+5x+5h) - (2x^(2) +5x)\\(2x^(2)+4xh+2h^(2)+5x+5h) - (2x^(2) +5x)\\(4xh+2h^(2)+5h)\\\\((4xh+2h^(2)+5h))/(h)\\ 4x+2h+5$

Final step just distributes the division

Wauna answered Aug 25, 2023

by Wauna

3.6k points

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