What is sec^2(x/2)+3(x-10)^2+2/(x^4) ?

The solution to sec^2(x/2)+3(x-10)^2+2/(x^4) is (sec^2(x/2)x^4+3x^6-60x^5+300x^4+2)/(x^4)

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simplify sec^2(x/2)+3(x-10)^2+2/(x^4)

simplify

sec^{2} (\frac{x}{2}) + 3 (x - 10)^{2} + \frac{2}{x ^{4}}

\frac{sec ^{2} ( \frac{x}{2} ) x ^{4} + 3 x ^{6} - 60 x ^{5} + 300 x ^{4} + 2}{x ^{4}}

Solution steps

sec^{2} (\frac{x}{2}) + 3 (x - 10)^{2} + \frac{2}{x ^{4}}

Join

sec^{2} (\frac{x}{2}) + 3 (x - 10)^{2} + \frac{2}{x ^{4}} : \frac{sec ^{2} ( \frac{x}{2} ) x ^{4} + 3 x ^{6} - 60 x ^{5} + 300 x ^{4} + 2}{x ^{4}}

= \frac{sec ^{2} ( \frac{x}{2} ) x ^{4} + 3 x ^{6} - 60 x ^{5} + 300 x ^{4} + 2}{x ^{4}}

\frac{x ( x ^{2} - 3 x + 4 )}{( x - 1 ) ^{3}}

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

6 (6 sec^{2} (3 x - 2) tan^{2} (3 x - 2) + 3 sec^{4} (3 x - 2))

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

What is sec^2(x/2)+3(x-10)^2+2/(x^4) ?
The solution to sec^2(x/2)+3(x-10)^2+2/(x^4) is (sec^2(x/2)x^4+3x^6-60x^5+300x^4+2)/(x^4)