Question

What is the factorised form of the expression a4 + 8b3a − ac3 + 6a2bc?​

Answer 1

Answer:

I don't know this because

Answer 2

Answer:

a(a+2b-c)(a^2+4b^2+c^2-2ab+2bc+ac)

Step-by-step explanation:

a^4+8b^3a-ac^3+6a62bc

= a(a^3+8b^3-c^3+6abc)

= a((a)^3+(2b)^3+(-c)^3-3(a)(2b)(-c)

Using a^3+b^3+c^3-3abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ac), we get,

a(a+b-c)(a^2+4b^2+c^2-2ab+2bc+ac)