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15 x 51 = (15)·(51) = (10 + 5)·(50 + 1)
= 5x100 + (   )x10 + 25x10 + 5
= 500 + (   )x10 + 250 + 5 =     765

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FOIL method @

 

Example >>>

 34 x 52 =  (30 + 4)·(50 + 2)

 

 

 

 

First

(A + B)·(C + D) = AC + AD + BC + BD

= 30 x 50

= 1500

Outer

(A + B)·(C + D) = AC + AD + BC + BD

= 30 x 2

=     60

Inner

(A + B)·(C + D) = AC + AD + BC + BD

= 4 x 50

=   200

Last

(A + B)·(C + D) = AC + AD + BC + BD

= 4 x 2

=       8

 

 

   

 

 

 

= 1768