Question

Simplify:
x²(x + 2y) (x − 3y)

Answer 1

To simplify, we will proceed as follows:

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

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

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

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

\[ = x^4 - 3 x^3 y + 2 x^3 y - 6 x^2 y^2 \]

\[ = x^4 - x^3 y - 6 x^2 y^2\]

Thus, the answer is \[x^4 - x^3 y - 6 x^2 y^2\].