To'g'ri aytasiz. Quyidagi LaTeX yordamida yangilangan isbot: $x$ va $y$ ikkita tasodifiy butun son bo'lsin. Ikki butun sonni ko'paytirish mumkin bo'lgan 4 xil holat mavjud: $$ xy= \begin{cases} x_{odd} \cdot y_{odd} = xy_{odd}\\ x_{odd} \cdot y_{even} = xy_{even}\\ x_{even} \cdot y_{odd} = xy_{even} x\\_{even} \cdot y_{even} = xy_{even} \end{es} $$ Ushbu 4 xil holatdan $x$ va $y$ ning ko'paytmasi juft son bo'lgan 3 xil holat mavjud. Shu sababli $x$ va $
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