What is expand (8xdx)/((2x^2+5)^4) ?

The solution to expand (8xdx)/((2x^2+5)^4) is (8xdx)/(16x^8+160x^6+600x^4+1000x^2+625)

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expand (8xdx)/((2x^2+5)^4)

expand

\frac{8 x d x}{( 2 x ^{2} + 5 ) ^{4}}

\frac{8 x d x}{16 x ^{8} + 160 x ^{6} + 600 x ^{4} + 1000 x ^{2} + 625}

Solution steps

\frac{8 x d x}{( 2 x ^{2} + 5 ) ^{4}}

(2 x^{2} + 5)^{4} = 16 x^{8} + 160 x^{6} + 600 x^{4} + 1000 x^{2} + 625

= \frac{8 x d x}{16 x ^{8} + 160 x ^{6} + 600 x ^{4} + 1000 x ^{2} + 625}

\frac{x ^{2} - 4 x + 10}{( x - 2 ) ^{2}}

\frac{2 x - 3}{( x - 3 ) ( x - 4 )}

(1 + y e^{x y}) d x

(x - 22)^{2}

e^{2 x} (2 cos (x) - sin (x))

What is expand (8xdx)/((2x^2+5)^4) ?
The solution to expand (8xdx)/((2x^2+5)^4) is (8xdx)/(16x^8+160x^6+600x^4+1000x^2+625)