What is (((2x))/((3y))+((2y))/((3x)))^2 ?

The solution to (((2x))/((3y))+((2y))/((3x)))^2 is ((2x^2+2y^2)^2)/(9x^2y^2)

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simplify (((2x))/((3y))+((2y))/((3x)))^2

simplify

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

\frac{( 2 x ^{2} + 2 y ^{2} ) ^{2}}{9 x ^{2} y ^{2}}

Solution steps

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

Join

\frac{2 x}{3 y} + \frac{2 y}{3 x} : \frac{2 x ^{2} + 2 y ^{2}}{3 x y}

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

Apply exponent rule:

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

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

Simplify

(3 x y)^{2} : 9 x^{2} y^{2}

= \frac{( 2 x ^{2} + 2 y ^{2} ) ^{2}}{9 x ^{2} y ^{2}}

m^{2} \cdot n^{4} + m^{3} \cdot n^{3} - m^{4} \cdot n^{2} - m^{4} \cdot n^{4}

10 - (x + 10)^{3}

(x^{2} - 2 x) 2 - 2 (x^{2} - 2 x) - 3

(3 x + 6 y)^{2}

n^{2} + n n^{2} n^{2} + 1 n^{2} + h

What is (((2x))/((3y))+((2y))/((3x)))^2 ?
The solution to (((2x))/((3y))+((2y))/((3x)))^2 is ((2x^2+2y^2)^2)/(9x^2y^2)