What is ((5x^4)/6-3/(10x^4))^2 ?

The solution to ((5x^4)/6-3/(10x^4))^2 is ((25x^8-9)^2)/(900x^8)

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simplify ((5x^4)/6-3/(10x^4))^2

simplify

(\frac{5 x ^{4}}{6} - \frac{3}{10 x ^{4}})^{2}

\frac{( 25 x ^{8} - 9 ) ^{2}}{900 x ^{8}}

Solution steps

(\frac{5 x ^{4}}{6} - \frac{3}{10 x ^{4}})^{2}

Join

\frac{5 x ^{4}}{6} - \frac{3}{10 x ^{4}} : \frac{25 x ^{8} - 9}{30 x ^{4}}

= (\frac{25 x ^{8} - 9}{30 x ^{4}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 25 x ^{8} - 9 ) ^{2}}{( 30 x ^{4} ) ^{2}}

Simplify

(30 x^{4})^{2} : 900 x^{8}

= \frac{( 25 x ^{8} - 9 ) ^{2}}{900 x ^{8}}

\frac{x}{1 + x ^{2}}

\frac{- 10 - i}{- 9 - 6 i}

cos (θ) cos (θ)

(2 x - 1) (x^{2} - 10 x + 8)

\frac{2 + 14 i}{9 + 14 i}

What is ((5x^4)/6-3/(10x^4))^2 ?
The solution to ((5x^4)/6-3/(10x^4))^2 is ((25x^8-9)^2)/(900x^8)