Question

x⁴+y⁴-3x²y² factorise​

Answer 1

Answer:

$\huge\pink{\fbox{\bf{Answer}}}$

= (x²-y² - xy )(x² - y² + xy)

Step-by-step explanation:

x^4 + y^4 - 3x²y²

Given:

= x^4 + y^4 - 2x²y² - x²y²

= (x²)² + (y²)² - 2x²y²-x²y²

= (x²- y²)² - (xy)²

= (x²-y² - xy )(x² - y² + xy)

[a²-b² = (a + b)(a - b)]

Hope it helps!

$\fcolorbox{red}{aqua}{♡ANSWER BY ADITYA♡}$

Answer 2

x^4 + y^4 - 3x²y²= x^4 + y^4 - 2x²y² - x²y²= (x²)² + (y²)² - 2x²y² - x²y²= ( x²- y²)² - (xy)²= ( x²- y² - xy )( x² - y² + xy )