Compute the following differences:

(224 × 176) – (226 × 174)

(224 × 176) can be written as (200+24)(200-24)

using identity -

(200+24)(200-24) = -

= 40000 - 576

= 39424

now (226 × 174) can be written as (200+26)(200-26)

using identity -

(200+26)(200-26) = (200)²-

= 40000 - 676

= 39324

now putting values in question

(224 × 176) – (226 × 174) = 39424 - 39324

= 100