Simplify $(3x + 2y)(3x - 2y)$.

Simplify $(3x + 2y)(3x - 2y)$.
  1. $9x^{2} - 4y^{2}$
  2. $9x^{2} + 4y^{2}$
  3. $3x^{2} - 2y^{2}$
  4. $9x^{2} - 12xy + 4y^{2}$

Solution

$(3x)^{2} - (2y)^{2} = 9x^{2} - 4y^{2}$.

Asked in: IMO

Practice more ALGEBRAIC EXPRESSIONS AND IDENTITIES questions on Aicharya