Alg1.1.11

From Exampleproblems

Evaluate $(x-2y)(x^2+2xy+4y^2)\,$

Rearrange the variables in the second factor,which looks like, $(x-2y)(x^2+(x)(2y)+(2y)^2)\,$

This can be interpreted as in the formula, $(a - b)(a 2 + a b + b 2) = a 3 - b 3$ Hence the solution of the expression is $x^3-(2y)^3\,$

Final solution is $x^3-8y^3\,$