Question

Factorise following polynomials using identities. a) 8a3 + b3 — 6ab +1​

Answer 1

Answer:

8a^3+b^3-6ab+1

=(2a)^3+(b)^3+(1)^3-3.2a.b.1

=(2a+b+1){(2a)^2+b^2+1^2-2a.b-b.1-1.2a}

=(2a+b+1)(4a^2+b^2+1-2ab-b-2a)