What is expand 1/((1-x^4))*1/((1-x^5)) ?

The solution to expand 1/((1-x^4))*1/((1-x^5)) is 1/(1-x^5-x^4+x^9)

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expand 1/((1-x^4))*1/((1-x^5))

expand

\frac{1}{( 1 - x ^{4} )} \cdot \frac{1}{( 1 - x ^{5} )}

\frac{1}{1 - x ^{5} - x ^{4} + x ^{9}}

Solution steps

\frac{1}{1 - x ^{4}} \cdot \frac{1}{1 - x ^{5}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{( 1 - x ^{4} ) ( 1 - x ^{5} )}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{( - x ^{4} + 1 ) ( - x ^{5} + 1 )}

Expand

(1 - x^{4}) (1 - x^{5}) : 1 - x^{5} - x^{4} + x^{9}

= \frac{1}{1 - x ^{5} - x ^{4} + x ^{9}}

sin^{2} (u) (v^{2} + 1) + cos^{2} (u) (v^{2} + 1) + v^{2}

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

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

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

((a + b F + c F^{2})^{2}) F^{2} \cdot (1 - d F - e F^{2})

What is expand 1/((1-x^4))*1/((1-x^5)) ?
The solution to expand 1/((1-x^4))*1/((1-x^5)) is 1/(1-x^5-x^4+x^9)