Question

Simplify: (x-23y)3-(x+23y)3

Answer 1

Step-by-step explanation:

a^3 - b^3 = (a-b) (a^2 + ab + b^2)

(x-23)^3 - (x+23)^3 =

(x-23) - (x+23) [(x-23)^2 + (x-23) (x+23) + (x+23)^2]

(x-23 - x -23) [(x^2 +529 -46x) (x^2 - 529) (x^2 +529 +46x)]

-46 [x^2 +529 -46x + x^2 - 529 + x^2 +529 +46x ]

-46 [3x^2 + 529]