(a-1)⁵ = C5,0 a⁵ (-1)⁰ + C5,1 a⁴ (-1)¹ + C5,2 a³ (-1)² + C5,3 a² (-1)³ + C5,4 a¹ (-1)⁴ + C5,5 a⁰ (-1)⁵(a-1)⁵ = a⁵ - 5a⁴ + 10a³ - 10a² + 5a - 1
(y+2)⁶ = C6,0 y⁶ 2⁰ + C6,1 y⁵ 2¹ + C6,2 y⁴ 2² + C6,3 y³ 2³ + C6,4 y² 2⁴ + C6,5 y¹ 2⁵ + C6,6 y⁰ 2⁶(y+2)⁶ = y⁶ + 12y⁵ + 64y⁴ + 192y³ + 384y² + 384y + 128
(2v+3)⁵ = C5,0 (2v)⁵ 3⁰ + C5,1 (2v)⁴ 3¹ + C5,2 (2v)³ 3² + C5,3 (2v)² 3³ + C5,4 (2v)¹ 3⁴ + C5,5 (2v)⁰ 3⁵(2v+3)⁵ = 32v⁵ + 240v⁴ + 720v³ + 1080v² + 810v + 243
(a-1)⁵ = C5,0 a⁵ (-1)⁰ + C5,1 a⁴ (-1)¹ + C5,2 a³ (-1)² + C5,3 a² (-1)³ + C5,4 a¹ (-1)⁴ + C5,5 a⁰ (-1)⁵
(y+2)⁶(a-1)⁵ = a⁵ - 5a⁴ + 10a³ - 10a² + 5a - 1
(y+2)⁶ = C6,0 y⁶ 2⁰ + C6,1 y⁵ 2¹ + C6,2 y⁴ 2² + C6,3 y³ 2³ + C6,4 y² 2⁴ + C6,5 y¹ 2⁵ + C6,6 y⁰ 2⁶
(2v+3)⁵(y+2)⁶ = y⁶ + 12y⁵ + 64y⁴ + 192y³ + 384y² + 384y + 128
(2v+3)⁵ = C5,0 (2v)⁵ 3⁰ + C5,1 (2v)⁴ 3¹ + C5,2 (2v)³ 3² + C5,3 (2v)² 3³ + C5,4 (2v)¹ 3⁴ + C5,5 (2v)⁰ 3⁵
(2v+3)⁵ = 32v⁵ + 240v⁴ + 720v³ + 1080v² + 810v + 243