What is a^2x^2+(1/a-a^3)x-1 ?

The solution to a^2x^2+(1/a-a^3)x-1 is a^2x^2+((-a^4+1)x)/a-1

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simplify a^2x^2+(1/a-a^3)x-1

simplify

a^{2} x^{2} + (\frac{1}{a} - a^{3}) x - 1

a^{2} x^{2} + \frac{( - a ^{4} + 1 ) x}{a} - 1

Solution steps

a^{2} x^{2} + (\frac{1}{a} - a^{3}) x - 1

Join

\frac{1}{a} - a^{3} : \frac{- a ^{4} + 1}{a}

= a^{2} x^{2} + \frac{- a ^{4} + 1}{a} x - 1

Simplify

\frac{- a ^{4} + 1}{a} x : \frac{( - a ^{4} + 1 ) x}{a}

= a^{2} x^{2} + \frac{( - a ^{4} + 1 ) x}{a} - 1

x^{2} y^{''} (x) + x y^{'} (x) + (x^{2} - 4) y

\frac{n ^{2} ( 4 ^{n} )}{( n + 1 ) ( n + 2 )}

- 4 (= 2 p + 10)

\frac{1}{s ^{2} ( s ^{2} - a )}

(1 - \frac{1}{( x + 28 ) ^{2}}) (1 - \frac{1}{( x + 29 ) ^{2}})

What is a^2x^2+(1/a-a^3)x-1 ?
The solution to a^2x^2+(1/a-a^3)x-1 is a^2x^2+((-a^4+1)x)/a-1