Respuesta :

Answer:

[tex]{ \tt{ {4x}^{6} - {16x}^{2} = {(2x {}^{3}) }^{2} - {(4x)}^{2} }} \\ [/tex]

• from difference of squares:

[tex]{ \boxed{ \rm{( {a}^{2} - {b}^{2} ) = (a - b)(a + b)}}}[/tex]

• a → 2x³

• b → 4x

[tex]{ \underline{ \underline{ \tt{ = \: (2 {x}^{3} - 4x)(2 {x}^{3} + 4x) \: }}}}[/tex]