Question

what is the factor of ( x + y )² - 4xy are​

Answer 1

Hey Negi Rishabh !

Answer:

(x - y) and (x - y)

(OR)

(x + y + 2✓xy)(x + y - 2✓xy)

Step-by-step explanation:

(x + y)² - 4xy

=> x² + 2xy + y² - 4xy

=> x² + (2xy - 4xy) + y²

=> x² - 2xy + y²

=> (x - y)²

(OR)

(x + y)² - 4xy

=> (x + y)² - (2√xy)²

The above is in the form of a² - b².

a² - b² = (a - b)(a + b)

Where a = x + y

Where b = 2√xy

=> (x + y + 2✓xy)(x + y - 2✓xy)

Thanks !