Question

1. Find the expresion of (a-b)^4by expressing (a-b)^4 as [a+(-b)]^4

Answer 1

Binomial expansion of (a+(-b))^4=a^4+4(-b)a^3+6(-b)^2a^2+4(-b)^3a+(-b)^4=

a^4-4ba^3+6b^2a^2-4b^3a+b^4 or

a^4-4ab^3+6a^2b^2-4ab^3+b^4

Answer 2

Given (a-b)^4

[a+(-b)]^4

a^4+b(b(6a^2+b(b-4a))-4a^3)

a^4-4a^3+6a^2b^2-4ab^3+b^4

Algebra Expression