Question

1 verifyy
In
Euler's
theorem on homogeneous function of
the
Case of the following funcions
1 )u=x^3-3x^2y+3xy^2+y^3
2)u=sin(x-y/x+y)^1/2​

Answer 1

1 = Hey there !

There is a small error in the question. It is x³ - 3x²y + 3xy² - y³.

So this is of the form of an identity:

( a - b )³ = a³ - 3a²b + 3ab² - b³

Hence we can write the equation as:

x³ - 3x²y + 3xy² - y³ = ( x - y )³

So after factorizing we get, ( x - y )³ .

Hope my answer helped !