Question

Factorize
${25x}^{4} - {y}^{4}$
​

Answer 1

25x⁴- y⁴

(5x² + y² ) (5x² - y²)

Answer 2

$25 {x}^{4} - {y}^{4} \\ = {(5 {x}^{2} )}^{2} - { ({y}^{2} )}^{2}$

Using,

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

$(5 {x}^{2} + {y}^{2} )(5 {x}^{2} - {y}^{2} )$

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