This question can't be answered as asked because IXX isn't valid in any known numbering system. The nearest valid number is XIX in the Roman system, or 19 in our system. Showing my working is not possible because it was done in my head. If you want to know how you could do it in your head (or on paper if you need to show it to your teacher) here it is. * XIXII can be re-written as XXII - (II x XIX) - I. * XXII = CD * - (II x XIX) - I = - XXXIX * CD - XXXIX = CCCLXI * XIXII = CCCLXI . . . . . QEC ( quod erat calculandum. )
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IXX isn't a valid Roman Numeral. XIX would be valid as would XXI. Perhaps it should be LXX? IXX (19) squared = -I(-I+XX)+XX(-I+XX) Multiplying out brackets = +I-XX-XX+CCCC Collecting like terms = -XXXXX+CCCC+I Then when simplified = CCCLXI (361) Remember that in maths a minus number multiplied by a minus number produces a plus number. Thus -I times -I is +I.