Question

How do we factorise 4X^4-Y^4

Answer 1

Answer :

(2X² + Y²)(2X² - Y²)

Step-by-step explanation :

4X⁴ - Y⁴

→ (2X²)² - (Y²)²

Identity : a² - b² = (a + b)(a - b)

Here, a = 2X², b = Y²

→ (2X² + Y²)(2X² - Y²)

Answer 2

Answer:

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