Question

what should be added to x cube+3xsquare y+3xy square+y cube to get x cube+y cube

Answer 1

Hello Dear!!!!

Here's your answer....

The given expression is 

x³+3x²y + 3xy²+y³ + (unknown expression) = x³+y³

unknown expression = x³+y³ - (x³+3x²y + 3xy²+y³)

unknown expression = x³+y³ - x³-3x²y - 3xy² - y³

unknown expression = -3x²y - 3xy²

-3x²y - 3xy² should be added to x³+3x²y + 3xy²+y³ to get x³+y³

__________________________________________________



HOPE THIS HELPS YOU.....

Answer 2

x³ + 3 x²y + 3 x y² + y³

Let us add some constant "a" to result in x³ + y³

So, x³ + 3 x²y + 3 x y² + y³ + a = x³ + y³

a = - 3 x²y - 3 x y²

- 3 x²y - 3 x y² should be added to get the required