What is (x^3)/((6.4+x)^2)-55.04 ?

The solution to (x^3)/((6.4+x)^2)-55.04 is (-2254.4384-704.512x-55.04x^2+x^3)/((6.4+x)^2)

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simplify (x^3)/((6.4+x)^2)-55.04

simplify

\frac{x ^{3}}{( 6.4 + x ) ^{2}} - 55.04

\frac{- 2254.4384 - 704.512 x - 55.04 x ^{2} + x ^{3}}{( 6.4 + x ) ^{2}}

Solution steps

\frac{x ^{3}}{( 6.4 + x ) ^{2}} - 55.04

Apply the fraction rule:

a + \frac{b}{c} = \frac{a c + b}{c}

= \frac{- 55.04 ( 6.4 + x ) ^{2} + x ^{3}}{( 6.4 + x ) ^{2}}

Simplify

- 55.04 (6.4 + x)^{2} + x^{3} : - 2254.4384 - 704.512 x - 55.04 x^{2} + x^{3}

= \frac{- 2254.4384 - 704.512 x - 55.04 x ^{2} + x ^{3}}{( 6.4 + x ) ^{2}}

(2 t^{4} - t^{2}) (1 + 3 t^{2})

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

(x - \frac{1}{2 x})^{10}

A \cdot (\frac{1}{B} + \frac{1}{C})

\frac{( 9 y ^{2} + 6 ) \cdot ln ( x )}{2} - \frac{( 3 y ^{2} + 2 ) ^{3}}{x}

What is (x^3)/((6.4+x)^2)-55.04 ?
The solution to (x^3)/((6.4+x)^2)-55.04 is (-2254.4384-704.512x-55.04x^2+x^3)/((6.4+x)^2)