
Patrick B. answered 05/11/20
Math and computer tutor/teacher
49 * 59 =
(40 + 9)(50 + 9) =
40*50 + 40*9 + 50*9 + 9*9 <--- FOIL method
2000 + 360 + 450 + 81
2000 + 300 + 60 + 400 + 50 + 80 + 1
2000 + 700 + 190 + 1 =
2891
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Here's 3 by 3
123 * 987
(100 + 20 + 3) ( 900 + 80 + 7) =
100 *900 + 100*80 + 100*7 +
20 *900 + 20*80 + 20*7 +
3 * 900 + 3*80 + 3*7 =
90000 + 8000 + 700
18000 + 1600 + 140 +
2700 + 240 + 21
'adds the diagonals
=
90000 + 26000 + 5000+ 380 + 21
116000 + 5000 + 380 + 21 =
121401