Question

Solve-
(1).a⁴+a²b²+b⁴
(2).x⁴+y⁴-11x²y²

Answer 1

1) 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)

Answer 2

Answer:

hope u would have understood, all the best :)