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Using Fibonacci to Easily Expand

April9

Now, you might well ask, how can we use Fibonacci to make our Algebra life easier. Well, here is a really good use which you can use in senior grades (note the pattern of coefficients in the expansion in red – same as the Fibonacci numbers to the left):

answer to the 4th expansion will then be the following (turn screen to read):

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–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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