Simplify: $2(x + 3y) - 3(2x - y) + 4(x + 2y)$.

Simplify: $2(x + 3y) - 3(2x - y) + 4(x + 2y)$.
  1. $17y$
  2. $8x + 11y$
  3. $-4x + 17y$
  4. $13y$

Solution

$= 2x + 6y - 6x + 3y + 4x + 8y = (2-6+4)x + (6+3+8)y = 0 \cdot x + 17y = 17y$.

Asked in: IMO

Practice more ALGEBRAIC EXPRESSIONS AND IDENTITIES questions on Aicharya