What is (sqrt(x)-1/(y^2))^{12} ?

The solution to (sqrt(x)-1/(y^2))^{12} is ((sqrt(x)y^2-1)^{12})/(y^{24)}

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simplify (sqrt(x)-1/(y^2))^{12}

simplify

(x - \frac{1}{y ^{2}})^{12}

\frac{( x y ^{2} - 1 ) ^{12}}{y ^{24}}

Solution steps

(x - \frac{1}{y ^{2}})^{12}

Join

x - \frac{1}{y ^{2}} : \frac{x y ^{2} - 1}{y ^{2}}

= (\frac{x y ^{2} - 1}{y ^{2}})^{12}

Apply exponent rule:

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

= \frac{( x y ^{2} - 1 ) ^{12}}{( y ^{2} ) ^{12}}

Simplify

(y^{2})^{12} : y^{24}

= \frac{( x y ^{2} - 1 ) ^{12}}{y ^{24}}

sin (x) (2 \cdot cos (x) - 1)

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

(x - 3) e^{x}

\frac{( 8 + 3 x ) ^{2}}{16}

(x^{2} - y^{2}) d x

What is (sqrt(x)-1/(y^2))^{12} ?
The solution to (sqrt(x)-1/(y^2))^{12} is ((sqrt(x)y^2-1)^{12})/(y^{24)}