Question

Factorise
a(a+b)^3 - 3a^2b(a+b)
Please solve this

Answer 1

$\textbf{Answer:}$

$a( a + b)(a + {b}^{2} - 3ab)\\ \\ =a(a + b)( {a}^{2} + 2ab + {b}^{2}) - 3ab) \\ \\ = a(a + b)( {a}^{2} + 2ab + {b}^{2} - 3 {a}^{2}b) \\ \\ =a(a + b)( {a}^{2}ab + {b}^{2})$

$\textbf{Hope it helps you!}$