Question

Tolong dijawab yg no8 ya

Answer 1

Sepertinya ada kesalahan dalam soal, sehingga jawaban tidak ada di pilihan.

{(1/a + 1/b) / (1/a - b)} ⁻¹
= (1/a - b) / (1/a + 1/b)
= {(1 - ab) / a} / {(a + b) / ab}
= {(b( 1 - ab)) / (a + b)}
= (b - ab²) / (a +b)

Answer 2

Asumsi koreksi soal:
[(a⁻¹ + b⁻¹)/(a⁻¹ - b⁻¹) ]⁻¹
= [(1/a + 1/b) / (1/a - 1/b)]⁻¹
= [[(b+a)/ab] / [(b-a)/ab]]⁻¹
= [(b+a)/(b-a)]⁻¹
= (b-a)/(b+a)
= (b-a)/(a+b) [C]