Question

\(\left(x^3+8y^3\right):\left(x+2y\right)=\)

Answer 1

\(\left(x^3+8y^3\right):\left(x+2y\right)\)

\(=\left[x^3+\left(2y\right)^3\right]\div\left(x+2y\right)\)

\(=\left(x+2y\right)\left(x^2-2xy+4y^2\right)\div\left(x+2y\right)\)

\(=x^2-2xy+4y^2\)

Answer 2

\(\left(x^3+8y^3\right):\left(x+2y\right)\)
\(=\left[x^3+\left(2y\right)^3\right]:\left(x+2y\right)\)
\(=\left[\left(x+2y\right)\left(x^2-2xy+4y^2\right)\right]:\left(x+2y\right)\)
\(=x^2-2xy+4y^2\)