What is ((x^4-9))/((x^2+3)) ?

The solution to ((x^4-9))/((x^2+3)) is x^2-3

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simplify ((x^4-9))/((x^2+3))

simplify

\frac{( x ^{4} - 9 )}{( x ^{2} + 3 )}

x^{2} - 3

Solution steps

\frac{x ^{4} - 9}{x ^{2} + 3}

Factor

x^{4} - 9 : (x^{2} + 3) (x^{2} - 3)

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

Cancel the common factor:

x^{2} + 3

= x^{2} - 3

x^{2} + \frac{x}{6} - \frac{1}{6}

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

12 x^{2} \cdot y + 6 x \cdot y^{3}

5 y x^{2} y

(2 x^{- 2} \cdot y^{3})^{3}