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: = 125 + 75 cdot ( -3 x ) + 15 cdot 9x ^ 2 + 1 cdot ( -27 x ^ 3 ) = 125 - 223x + 135x ^ 2 - 27x ^ 3