Let us solve the equations with the help of identities.
Let's write the value of `x^3 - y^3 - 6xy if x - y = 2`

Let's write the value of x^3 - y^3 -z^3 - 3xyz if x = y + z

Let us solve the equations with the help of identities. Let's try to prove a^3 + b^3 - ab = -frac(1)(27) if a + b = -frac(1)(3)

Let's solve the following equation. 3x = 9

Let's solve the following equation. 6x = 7

Let's try to write the value of frac(x^6 - 1)(x^3) if frac(x^2 - 1)(x) = 2

Let's solve the following equation. 2x = 50

Let us analyse the factor with the help of identity 8x^3 + 729y^3 = (2x)^3 + (9y)^3

Let's factorise (27a^3 - 64) with the help of the identity.

Solving the equations given below, let's write their, velues in respective spaces. 7x - 7 = 6x -2

Let us multiply with the help of identity . (7 + 3x) (49 - 21x + 9x^2)