2011 • 5 + 2011 • 7 + 2011 • 49 + 2011 • 39 =
= 2011 ( 5 + 7 + 49 + 39 ) =
= 2011 ( 12 + 49 + 39 ) =
= 2011 ( 61 + 39 ) =
= 2011 • 100 =
= 201100
2 011 × 5 + 2 011 × 7 + 2 011 × 49 + 2 011 × 39 =
10 055 + 2 011 × 7 + 2 011 × 49 + 2 011 × 39 =
10 055 + 14 077 + 2 011 × 49 + 2 011 × 39 =
10 055 + 14 077 + 98 539 + 2 011 × 39 =
10 055 + 14 077 + 98 539 + 78 429 =
24 132 + 98 539 + 78 429 =
122 671 + 78 429 =
201 100
→ Metoda factorului comun:
2 011 × ( 5 + 7 + 49 + 39 ) =
2 011 × ( 12 + 49 + 39 ) =
2 011 × ( 61 + 39 ) =
2 011 × 100 =
201 100
