Question

what are the 8 algebraic identities of polynomials and factorisation

Answer 1

1. (a+b)^2=a^2+2ab+b^2
2. (a-b)^2=a^2-2ab+b^2
3. (a^2- b^2)=(a+b)(a-b)
4. (x-a)(x-b)=x^2+x(a+b)+ab
5. (a+b)^3=a^3+b^3+3ab(a+b)
6. (a-b)^3=a^3-3a^2b+3ab^2-y^3
7. (a+b+c)^2=a^2+b^2+z^2+2ab+2bc+ 2ac
8. a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)