Question

a expressão (1-1/a)÷(1-1/a²) e igual a​

Answer 1

a

a+1

(1-1/a):(1-1/a²) =

( a-1 ):(a²-2)

a a²

(a-1)( a² )

a a²-1

(a-1)( a² )

a (a-1)(a+1)

(a-1) a

(a-1)(a+1)

a

a+1

✨✨ Bom descanso

28/07/22

Answer 2

$(1 - \frac{1}{a} ) \div (1 - \frac{1}{a {}^{2} } ) \\ \\ \frac{a - 1}{a} \div \frac{a {}^{2} - 1 }{a {}^{2} } \\ \\ \frac{a - 1}{a} \: . \: \frac{a {}^{2} }{a {}^{2} - 1} \\ \\ (a - 1) \: . \: \frac{a}{(a - 1) \: . \: (a + 1)} \\ \\ \boxed{\boxed{\boxed{ \frac{a}{a + 1} }}}$