What is expand ((2x^2-7)^2)/(x^4) ?

The solution to expand ((2x^2-7)^2)/(x^4) is 4-(28)/(x^2)+(49)/(x^4)

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expand ((2x^2-7)^2)/(x^4)

expand

\frac{( 2 x ^{2} - 7 ) ^{2}}{x ^{4}}

4 - \frac{28}{x ^{2}} + \frac{49}{x ^{4}}

Solution steps

\frac{( 2 x ^{2} - 7 ) ^{2}}{x ^{4}}

(2 x^{2} - 7)^{2} = 4 x^{4} - 28 x^{2} + 49

= \frac{4 x ^{4} - 28 x ^{2} + 49}{x ^{4}}

Apply the fraction rule:

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

\frac{4 x ^{4} - 28 x ^{2} + 49}{x ^{4}} = \frac{4 x ^{4}}{x ^{4}} - \frac{28 x ^{2}}{x ^{4}} + \frac{49}{x ^{4}}

= \frac{4 x ^{4}}{x ^{4}} - \frac{28 x ^{2}}{x ^{4}} + \frac{49}{x ^{4}}

Cancel

\frac{4 x ^{4}}{x ^{4}} : 4

= 4 - \frac{28 x ^{2}}{x ^{4}} + \frac{49}{x ^{4}}

Cancel

\frac{28 x ^{2}}{x ^{4}} : \frac{28}{x ^{2}}

= 4 - \frac{28}{x ^{2}} + \frac{49}{x ^{4}}

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What is expand ((2x^2-7)^2)/(x^4) ?
The solution to expand ((2x^2-7)^2)/(x^4) is 4-(28)/(x^2)+(49)/(x^4)