Question

Simplify: 4ab(a − b) − 6a²(b − b²) − 3b²(2a² − a) + 2ab(b − a)

Answer 1

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

\[4ab\left( a - b \right) - 6 a^2 \left( b - b^2 \right) - 3 b^2 \left( 2 a^2 - a \right) + 2ab\left( b - a \right)\]

\[ = 4 a^2 b - 4a b^2 - 6 a^2 b + 6 a^2 b^2 - 6 b^2 a^2 + 3 b^2 a + 2a b^2 - 2 a^2 b\]

\[ = 4 a^2 b - 6 a^2 b - 2 a^2 b - 4a b^2 + 3 b^2 a + 2a b^2 + 6 a^2 b^2 - 6 b^2 a^2 \]

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