Original: According to the theorem , it is possible to expand the power ( x + y ) n into a sum involving terms of the form ax ` b ` y ` c , where the coefficient of each term is a positive integer , and the sum of the exponents of x and y in each term is n. For example ,
Simplified: = 16807 + 12005 cdot 4x ^ 2 + 3430 cdot 16x ^ 4 + 490 cdot 64x ^ 6 + 35 cdot 256x ^ 8 + 1 cdot 1024x ^ { 10 }