Party A and Party B process a batch of parts at the same time. In the first three hours, they process a total of 126 pieces. In the last five hours, party a first spends an hour repairing tools. Therefore, Party A processes 10 pieces more per hour than before. Results in the later period, Party a processes 10 pieces more than Party B. how many pieces did Party A and Party B process per hour

126 / 3 hou mian began to be difficult

On the problem of square difference formula,
Calculation (3 + 1) (3 2 + 1) (3 4 + 1) (3 8 + 1) (3 1 + 1)
It starts with 3 to the power of 1 + 1 and ends with 3 to the power of 16 + 1
There must be a formula for this kind of problem, but we haven't learned it, and we can't work it out with the formula of square difference!
Tell me the formula

Multiply by (3-1) and divide by 2
【（3-1）（3+1）（3⒉+1）（3⒋+1）（3⒏+1）（3⒈⒍+1）】/2
=【（3²-1）（3²+1））（3⒋+1）（3⒏+1）（3⒈⒍+1）】/2
=[32nd power of 3-1] / 2