Show:
(x+y)^n
Level´s Coefficients
Expanding Binomial
Volume of Cubes
100

(x+y)2

x2+2xy+y2

100

level 2

1   2    1

100

(2x+y)2

4x2+4xy+y4

100

Arist: x

x3

200

(x+y)4

x4+4x3y+6x2y2+4xy3+y4

200

Level 4

1  4   6  4  1

200

(x2+y3)2

x4+2x2y3+y6

200

Arist: x+1

x3+3x2+3x+1

300

(x+y)7

x7+7x6y+21x5y2+35x4y3+35x3y4+21x2y5+7xy6+y7

300

Level 5

1    5   10     10   5    1
300

(x+5y)3

x3+15x2y+75xy2+125y3

300

Arist: x+2

x3+6x2+12x+8

400

(x+y)8

x8+8x7y+28x6y2+56x5y3+70x4y4+56x3y5+28x2y6+8xy7+y8

400

Level 7

1, 7,21,35,35,21,7,1

400

(3x+y5)2

9x2+6xy5+y10

400

Arist: m+n

m3+3m2n+3mn2+n3

500

(x+y)10

x10+10x9y+45x8y2+120x7y3+210x6y4+252x5y5+210x4y6+120x3y7+45x2y8+10xy9+y10

500

Level 10

1,10,45,120,210,252,210,120,45,10,1

500

(2m3+5n3)3

8m9+60m6n3+150m3n6+125n9

500

Arist: m+x2

m3+3m2x2+3mx4+x6