What is (3x^4-2x^2-5)/(3x^2-5) ?

The solution to (3x^4-2x^2-5)/(3x^2-5) is x^2+1

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simplify (3x^4-2x^2-5)/(3x^2-5)

simplify

\frac{3 x ^{4} - 2 x ^{2} - 5}{3 x ^{2} - 5}

x^{2} + 1

Solution steps

\frac{3 x ^{4} - 2 x ^{2} - 5}{3 x ^{2} - 5}

Factor

3 x^{4} - 2 x^{2} - 5 : (x^{2} + 1) (3 x^{2} - 5)

= \frac{( x ^{2} + 1 ) ( 3 x ^{2} - 5 )}{3 x ^{2} - 5}

Cancel the common factor:

3 x^{2} - 5

= x^{2} + 1

(2 \cdot 6)^{\frac{3}{2}}

1 6^{- 4^{- 2^{- 1}}}

(x + 1)^{- 2}

\frac{2 + 6}{6 + 8}

\frac{\frac{\frac{5}{2}}{\frac{4}{1}}}{2}

What is (3x^4-2x^2-5)/(3x^2-5) ?
The solution to (3x^4-2x^2-5)/(3x^2-5) is x^2+1