Compute the following differences:

(125 × 75) – (126 × 74)

(125 × 75) can be written as (100+25)(100-25)

using identity -

(100+25)(100-25) = -

= 10000 - 625

= 9375

now (126 × 74) can be written as (100+26)(100-26)

using identity -

(100+26)(100-26) = -

= 10000 - 676

= 9324

now putting values in question

(125 × 75) – (126 × 74) = 9375-9324

= 51