What is ((a^2+1))/((1+1/(a^2))) ?

The solution to ((a^2+1))/((1+1/(a^2))) is a^2

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simplify ((a^2+1))/((1+1/(a^2)))

simplify

\frac{( a ^{2} + 1 )}{( 1 + \frac{1}{a ^{2}} )}

a^{2}

Solution steps

\frac{a ^{2} + 1}{1 + \frac{1}{a ^{2}}}

Join

1 + \frac{1}{a ^{2}} : \frac{a ^{2} + 1}{a ^{2}}

= \frac{a ^{2} + 1}{\frac{a ^{2} + 1}{a ^{2}}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{( a ^{2} + 1 ) a ^{2}}{a ^{2} + 1}

Cancel the common factor:

a^{2} + 1

= a^{2}

v (2.2) f (- 1.2)

\frac{6 ^{x}}{2}

10 cos^{2} (x) + 10 sin^{2} (x)

x^{5} + 4 x^{4} - 10 x^{2} - x + 6

(2 y^{4} - 1)^{6}

What is ((a^2+1))/((1+1/(a^2))) ?
The solution to ((a^2+1))/((1+1/(a^2))) is a^2