Question

Factorize : x^8 - 16y^8​

Answer 1

Step-by-step explanation:

Here,

x^8 - 16y^8

( x⁴)² - (4y⁴)²

according to formula,

( a)² - ( b)² = ( a + b) ( a - b)

then,

(x⁴ - 4y⁴) ( x⁴ + 4y⁴) answer

Answer 2

Answer:

${x}^{8} - 16 {y}^{8} can \: be \: written \: as \: {x}^{8} - ({2y}^{2}) ^{4} \\ using \: property \: {x}^{2} - {y}^{2} = (x + y)(x - y) \\ {x}^{8} - ({2y}^{2}) ^{4} = ( {x}^{4} + 4 {y}^{4} )( {x}^{4} - 4 {y}^{4} ) \\ ( {x}^{4} + 4 {y}^{4} )({x}^{2} + 2 {y}^{2} )( {x}^{2} - 2 {y}^{2} )$