Question

a^4-(a+b)^4 factorise

Answer 1

Answer:

( 2a^2 + b^2 + 2ab )(- b^2 + 2ab)

Step-by-step explanation:

a^4-(a+b)^4

=> (a^2)^2 - [(a+b)^2]^2

=> [(a)^2 +(a+b)^2] [(a)^2 -(a+b)^2]

=> [(a^2 + (a^2 + b^2 + 2ab)] [(a^2 - (a^2 + b^2 - 2ab)]

=>  ( 2a^2 + b^2 + 2ab )(- b^2 + 2ab)