Simplify the following expression. (17x - 29y) + (32x + 56y)

1 answer

To simplify the expression \((17x - 29y) + (32x + 56y)\), we will combine like terms.

  1. Group the \(x\) terms together: \[ 17x + 32x \]

  2. Group the \(y\) terms together: \[ -29y + 56y \]

  3. Now, simplify each group:

    • For the \(x\) terms: \[ 17x + 32x = 49x \]
    • For the \(y\) terms: \[ -29y + 56y = 27y \]
  4. Combine the results: \[ 49x + 27y \]

Thus, the simplified expression is \(\boxed{49x + 27y}\).