Question

Factorize:
a4- 81b4
please explain me ​

Answer 1

Answer:

(a²+9b²)+(a+3)(a-3)

Step-by-step explanation:

a⁴-81b⁴

= (a²)²-(9b²)²

= (a²+9b²)(a²-9b²)

= (a²+9b²)((a)²-(3b)²)

= (a²+9b²)+(a+3)(a-3)

using formula x²-y² = (x+y)+(x-y)