Factorise :
(x+y)²(x-y) ²
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evaluate : ( x ² - y ² ) ²
expand : x⁴ + y⁴ - 2 ( xy ) ²
Answer:
[tex]\huge\colorbox{yellow}{Answer\:-}[/tex]
[tex]\small\underbrace\mathrm\red{Using\:formula}[/tex]
[tex] \boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)} [/tex]
Now,
[tex] {(x + y)}^{2} - {(x - y)}^{2} [/tex]
[tex] = ( {x}^{2} + 2xy + {y}^{2}) - ( {x}^{2} - 2xy + {y}^{2}) [/tex]
[tex] = {x}^{2} + 2xy + {y}^{2} - {x}^{2} + 2xy - {y}^{2} [/tex]
[tex] = 2xy + 2xy[/tex]
[tex]\boxed{\pink{ = > 4xy}}[/tex]
[tex]\huge\colorbox{yellow}{Thank\:You}[/tex]