Question

a⁴-2a²b²+b⁴

Factorise the given expression​

Answer 1

Answer:

a⁴ -2a²b² + b⁴ can be written as:

(a²)² - 2(a²)(b²) + (b²)²

Compare this to the identity a² - 2ab + b² = (a - b)²

So, it is equal to:

(a² - b²)²

This can still be written again using : a² - b² = (a+b)(a-b)

So,

= [(a + b)(a - b)]²

Answer 2

Step-by-step explanation:

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)