\(\bigg[\bigg(1+\frac1{10+\frac1{10}}\bigg)\times\)\(\bigg(1+\frac1{10+\frac1{10}}\bigg) -\)\(\bigg(1-\frac1{10+\frac1{10}}\bigg)\times\)\(\bigg(1-\frac1{10+\frac1{10}}\bigg)\bigg]\) ÷ \(\bigg[\bigg(1+\frac1{10+\frac1{10}}\bigg)+\) \(\bigg(1-\frac1{10+\frac1{10}}\bigg)\bigg]\) simplifies to
(a) \(\frac{100}{101}\)
(b) \(\frac{90}{101}\)
(c) \(\frac{20}{101}\)
(d) \(\frac{101}{100}\)
