for all real numbers x and y,it x*y=x(x-y) then x*(x*y)=?
Let z = x*y = x(x-y)
x*(x*y) = x*z = x(x-z) = x(x-(x(x-y)))
To find the value of x*(x*y), we can substitute the given expression for x*y in terms of x and y.
Given: x*y = x(x-y)
Substituting this value in x*(x*y), we get:
x*(x*y) = x*x(x-y)
Now, let's simplify the expression:
x*(x*y) = x*x^2 - x*x*y
= x^3 - x^2*y
So, x*(x*y) simplifies to x^3 - x^2*y.