{(1/a) + 1} ÷ {1 - (1/a²)} = কত?

প্রশ্ন: {(1/a) + 1} ÷ {1 - (1/a²)} = কত?

সমাধান:
{(1/a) + 1} ÷ {1 - (1/a²)}
= {(1/a) + 1} ÷ {1 + (1/a)} {1 - (1/a)}
= 1/{1 - (1/a)}
= {1 - (1/a)} ^-1
= {(a - 1)/a} ^-1
= a/(a - 1)