Question

factorise the following (x+y)²-(x-y)²​

Answer 1

Answer:

4xy

Step-by-step explanation:

(x+y)²-(x-y)²

=> (x² + 2xy + y²) - (x² - 2xy + y²)

=> x² + 2xy + y² - x² +2xy - y²

=> 2xy + 2xy

=> 4xy

Answer 2

$\orange{∴The\: value\:of\: (x + y)^{2} - (x - y)^{2}\:by \:} \\\orange{using \:formula:\boxed { {a }^{2} - {b}^{2} = (a + b)( a- b) }}\\ \\ =((x + y) +( x - y) )((x + y) - (x - y)) \\ \\ =(x + y + x - y)(x + y - x + y) \\ \\ = (x + x + y - y)(x - x + y + y) \\ \\ = (2x)(2y) \\ \\ = \green{\boxed{4xy}}$