Question

Simplify: x³y(x² − 2x) + 2xy(x³ − x⁴)

Answer 1

 To simplify, we will use distributive law as follows:​

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

\[ = x^5 y - 2 x^4 y + 2 x^4 y - 2 x^5 y\]

\[ = x^5 y - 2 x^5 y - 2 x^4 y + 2 x^4 y\]

\[ = - x^5 y\]