Question

If one factor of a⁴ + b⁴ +a²b² is a² +b² +ab then what's the other factor?​

Answer 1

Answer:

a⁴+a²b²+b⁴

= (a² +b²)² - 2a²b² + a²b²

= (a²+b²)² - a²b²

= (a²+b²)² - (ab)²

now it is in the form of a² - b² =( a+ b)(a-b)

(a²+b²+ab)(a²+b² - ab)

2)

x⁴+y⁴-11x²y²

(x²-y²) ² +2x²y² -11x²y²

(x²-y²) ² - 9x²y²

(x²-y²) ² -( 3xy)²

now do the same here,

(x²-y² + 3xy) (x²-y² - 3xy)

Step-by-step explanation: