Question

Find the factors of the following expression​

Answer 1

Answer:

[a^2 + b^2 + c^2 + 2bc] [a + b + c] [a - b - c]

Step-by-step explanation:

a^4 - (b+c)^4

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

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

= [a^2 + b^2 + c^2 + 2bc] [a + (b + c)] [a - (b + c)]

= [a^2 + b^2 + c^2 + 2bc] [a + b + c] [a - b - c]