Question

Resolve into factors:
1 - 16a to the power of 4 =

Answer 1

Step-by-step explanation:

$1)625 {x}^{4} - 1$

$= ( { {25x}^{2}) }^{2} - ( {1)}^{2}$

$= (25 {x}^{2} + 1)(25 {x}^{2} - 1)$

$= (25 {x}^{2} + 1)(5 {x}^{2} - ( {1)}^{2} )$

$= (25 {x}^{2} + 1)(5x + 1)(5x - 1)$

$2)1 - 16 {a}^{4}$

$= ( {1)}^{2} - (4 { {a}^{2)} }^{2}$

$= (1 + 4 {a}^{2} )(1 - 4 {a}^{2} )$

$= (1 + 4 {a}^{2} )( {1)}^{2} - (2 {a)}^{2}$

$= (1 + 4 {a}^{2} )(1 + 2a)(1 - 2a)$