Question

Factorise :
(x+y)²(x-y) ²​

Answer 1

evaluate : ( x ² - y ² ) ²

expand : x⁴ + y⁴ - 2 ( xy ) ²

Answer 2

Answer:

$\huge\colorbox{yellow}{Answer\:-}$

$\small\underbrace\mathrm\red{Using\:formula}$

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

Now,

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

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

$= {x}^{2} + 2xy + {y}^{2} - {x}^{2} + 2xy - {y}^{2}$

$= 2xy + 2xy$

$\boxed{\pink{ = > 4xy}}$

$\huge\colorbox{yellow}{Thank\:You}$