What is expand (1000-30x)/((0.02x^2+5)^2) ?

The solution to expand (1000-30x)/((0.02x^2+5)^2) is (1000-30x)/(0.0004x^4+0.2x^2+25)

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expand (1000-30x)/((0.02x^2+5)^2)

expand

\frac{1000 - 30 x}{( 0.02 x ^{2} + 5 ) ^{2}}

\frac{1000 - 30 x}{0.0004 x ^{4} + 0.2 x ^{2} + 25}

Solution steps

\frac{1000 - 30 x}{( 0.02 x ^{2} + 5 ) ^{2}}

(0.02 x^{2} + 5)^{2} = 0.0004 x^{4} + 0.2 x^{2} + 25

= \frac{1000 - 30 x}{0.0004 x ^{4} + 0.2 x ^{2} + 25}

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\frac{7 x ^{2} - 7 x - 14}{( 2 x - 1 ) ( x ^{2} - x - 5 )}

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What is expand (1000-30x)/((0.02x^2+5)^2) ?
The solution to expand (1000-30x)/((0.02x^2+5)^2) is (1000-30x)/(0.0004x^4+0.2x^2+25)