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how is it possible to let 256x256=to 66536 and using distributive does not work like this 250x250=62500 and 6x6=36 and the answers do not match

Guest Aug 18, 2015

Best Answer 

 #1
avatar+17745 
+5

256 x 256  =  (250 + 6) x (250 + 6)

So, you must use FOIL:  F = First = 250 x 250,     O = Outside = 250 x 6

               I = Inside = 6 x 250,         L = Last = 6 x 6

You get:  (250 x 250)  +  (250 x 6)  +  (6 x 250)  +  (6 x 6)

     =  62500 + 1500 + 1500 + 36  =  65536

FOIL is an extended distributive property.

geno3141  Aug 18, 2015
 #1
avatar+17745 
+5
Best Answer

256 x 256  =  (250 + 6) x (250 + 6)

So, you must use FOIL:  F = First = 250 x 250,     O = Outside = 250 x 6

               I = Inside = 6 x 250,         L = Last = 6 x 6

You get:  (250 x 250)  +  (250 x 6)  +  (6 x 250)  +  (6 x 6)

     =  62500 + 1500 + 1500 + 36  =  65536

FOIL is an extended distributive property.

geno3141  Aug 18, 2015

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