What is ((x^4-x^2))/((x^2-1)) ?

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

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simplify ((x^4-x^2))/((x^2-1))

simplify

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

x^{2}

Solution steps

\frac{x ^{4} - x ^{2}}{x ^{2} - 1}

Factor

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

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

Factor

x^{2} - 1 : (x + 1) (x - 1)

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

Cancel the common factor:

x + 1

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

Cancel the common factor:

x - 1

= x^{2}

12 x^{2} y + 4 x^{2}

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2 x^{2} + 4 x + 2 - 2 y^{2}

1.05 x \cdot 1 0^{7} \cdot j - 4.21 x \cdot 1 0^{5} \cdot j

2 (x + 1) - 3 (x - 2) x + 6