Square of a binomial

Statement

Expand the special product: $(3x+2y)^2$

Solution

Apply the formula $(A+B)^2 = A^2 + 2AB + B^2$ with $A=3x$ and $B=2y$: $(3x+2y)^2 = (3x)^2 + 2\cdot 3x\cdot 2y + (2y)^2 = \boxed{9x^2 + 12xy + 4y^2}$

Links

Topics: Literal calculus
Concepts: Special products · Square of a binomial
Skills: Calculating · Using formulae
Exercise type: Evaluating expressions