Question

What is ${\left(x-y\right)}^3$ formula?

Answer 1

Determine the formula of ${\left(x-y\right)}^3$.

The required formula is:

$\begin{array}{rcl}{\left(x-y\right)}^3& =& x^3-y^3-3xy\left(x-y\right)\\ & =& x^3-y^3-3x^{2}y+3x{y}^2\end{array}$

Hence, the required formula of ${\left(x-y\right)}^3$is $x^3-y^3-3x^{2}y+3x{y}^2$.