42(27 +7) - (22 + 7)(22 + 7)

To simplify the expression \( 42(27 + 7) - (22 + 7)(22 + 7) \), we can follow these steps:

1. Calculate \(27 + 7\): \[ 27 + 7 = 34 \] So, we rewrite the expression: \[ 42(34) - (22 + 7)(22 + 7) \]

2. Calculate \(22 + 7\): \[ 22 + 7 = 29 \] Thus, we have: \[ 42(34) - 29 \times 29 \]

3. Calculate \(42 \times 34\): \[ 42 \times 34 = 1428 \]

4. Calculate \(29 \times 29\): \[ 29 \times 29 = 841 \]

5. Subtract these results: \[ 1428 - 841 \] Doing the subtraction: \[ 1428 - 841 = 587 \]

Thus, the value of the expression \( 42(27 + 7) - (22 + 7)(22 + 7) \) is \(\boxed{587}\).