Question

Simplify: a²b(a − b²⁾ + ab²(4ab − 2a²) − a³b(1 − 2b)

Answer 1

To simplify, we will use distributive law as follows:

\[a^2 b\left( a - b^2 \right) + a b^2 \left( 4ab - 2 a^2 \right) - a^3 b\left( 1 - 2b \right)\]

\[ = a^3 b - a^2 b^3 + 4 a^2 b^3 - 2 a^3 b^2 - a^3 b + 2 a^3 b^2 \]

\[ = a^3 b - a^3 b - a^2 b^3 + 4 a^2 b^3 - 2 a^3 b^2 + 2 a^3 b^2 \]

\[ = 3 a^2 b^3\]