Question

Factorise a.x3+4.a.x​

Answer 1

Answer:

${ax}^{3} + 4ax$

factorise out a and x :

${ \boxed{answer{= ax( {x}^{2} + 4) }}}\\ but \: farther \: more : \\ = ax( {x}^{2} + {2}^{2} )$

but from general factorization:

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

a » x

b » 2

therefore:

$= ax \{ {(x + 2)}^{2} - 2(x)(2) \} \\ \\ = { \boxed{ \boxed{ax( {x + 2)}^{2} - 4x }}}$