Question

Which of the following is the simplified form of (x + y)² - (x - y)² ?​

Answer 1

Answer:

xy

Step-by-step explanation:

[x+y]² - [x-y]²

x + y ²

-

x - y²

= xy

Answer 2

$\red \bigstar\sf \red Answer :$

Simplifying:

$\purple \bigstar \sf \purple{(x + y)² - (x - y)² \implies}$

$\rm \red= \pink {x^2+2xy+y^2+−x^2+2xy+−y^2}$

$\tt \color{red}{=(x^2+−x^2)+(2xy+2xy)+(y^2+−y^2)}$

$\bf \color{lime}{=4xy}$

So the simplified form of (x + y)² - (x - y)² =4xy

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