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suppose that p>q>0. sketch a square of side p and another square of side q and give a pictorial demonstration of the identity p^2-q^2=(p+q)(p-q)

 Jan 5, 2024
 #1
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Let   p  = 5  = the side of the  larger square    Let q = 3  = side of smaller square

 

So

 

p^2  - q^2  = 5^2   -3^2  =  16  = the number of small squares between the two  squares

 

And  p^2 - q^2 =  (p + q)  ( p -q)  =  (5 + 3) (5 -2) = (8) (2)  = 16

 

 

 

cool cool cool

 Jan 5, 2024

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