What is (x^n)/(sqrt(1-x^2)) ?

The solution to (x^n)/(sqrt(1-x^2)) is (x^nsqrt(1-x^2))/(1-x^2)

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simplify (x^n)/(sqrt(1-x^2))

simplify

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

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

Solution steps

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

Multiply by the conjugate

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

= \frac{x ^{n} 1 - x ^{2}}{1 - x ^{2} 1 - x ^{2}}

1 - x^{2} 1 - x^{2} = 1 - x^{2}

= \frac{x ^{n} 1 - x ^{2}}{1 - x ^{2}}

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

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

(3.7 x 1 0^{- 3}) - (2.9 x 1 0^{- 5})

9 a^{2} - 4 b^{2} - 6 a + 1

sin^{4} (x) + sin (x)

What is (x^n)/(sqrt(1-x^2)) ?
The solution to (x^n)/(sqrt(1-x^2)) is (x^nsqrt(1-x^2))/(1-x^2)