Factorise completely: $$(p+2q)^2-8pq.$$ State the values of $A,B$ that make it fit $(A+B)^2-4AB$

Question

Factorise completely: $$(p+2q)^2-8pq.$$ State the values of $A,B$ that make it fit $(A+B)^2-4AB$.

Accepted Answer

$(p-2q)^2$, with $A=p,\ B=2q$.

Algebraic Expressions, Identities and Formulae