What is expand (3x^2+5x-9)/(x^3(x^2+2)^2) ?

The solution to expand (3x^2+5x-9)/(x^3(x^2+2)^2) is (3x^2+5x-9)/(x^7+4x^5+4x^3)

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expand (3x^2+5x-9)/(x^3(x^2+2)^2)

expand

\frac{3 x ^{2} + 5 x - 9}{x ^{3} ( x ^{2} + 2 ) ^{2}}

\frac{3 x ^{2} + 5 x - 9}{x ^{7} + 4 x ^{5} + 4 x ^{3}}

Solution steps

\frac{3 x ^{2} + 5 x - 9}{x ^{3} ( x ^{2} + 2 ) ^{2}}

(x^{2} + 2)^{2} = x^{4} + 4 x^{2} + 4

= \frac{3 x ^{2} + 5 x - 9}{x ^{3} ( x ^{4} + 4 x ^{2} + 4 )}

Expand

x^{3} (x^{4} + 4 x^{2} + 4) : x^{7} + 4 x^{5} + 4 x^{3}

= \frac{3 x ^{2} + 5 x - 9}{x ^{7} + 4 x ^{5} + 4 x ^{3}}

(x - y) (4 x + y) d x + x (5 x - y) d y

(e^{x} - 1)^{3}

cos (x) (tan (x) + sec (x))

(- 1 + \frac{4 i}{n})^{3}

\frac{2 s - 4}{( s ^{2} + s ) ( s ^{2} + 1 )}

What is expand (3x^2+5x-9)/(x^3(x^2+2)^2) ?
The solution to expand (3x^2+5x-9)/(x^3(x^2+2)^2) is (3x^2+5x-9)/(x^7+4x^5+4x^3)