Question

(x^3+8y^3):(x+2y)=

Answer 1

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

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

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

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

Answer 2

\(\frac{x^3+8y^3}{x+2y}\)

\(=\frac{x^3+\left(2y\right)^3}{x+2y}\)

\(=\frac{\left(x+2y\right)\left(x^2+4y^2-2xy\right)}{x+2y}\)

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