Question

a⁴-2a²b²+b⁴ is= what​

Answer 1

Answer:-

(a + b)(a + b)(a - b)(a - b)

Step-by-step explanation:-

a⁴-2a²b²+b⁴

⇒ (a²)² - 2(a²)(b²) + (b²)²

• Use identity x² - 2xy + y² = (x - y)²

• Here, x = a² and y = b²

⇒ (a²)² - 2(a²)(b²) + (b²)²

⇒ (a² - b²)²

⇒ (a² - b²)(a² - b²)

• Use identity x² - y² = (x + y)(x - y)

• Here, x = a and y = b

⇒  (a² - b²)(a² - b²)

⇒ [(a + b)(a - b)][(a + b)(a - b)]

⇒ (a + b)(a + b)(a - b)(a - b)

Answer⇒ (a + b)(a + b)(a - b)(a - b)

I hope that this helped you :-)