What is (2/(3x)-1/(4y))^2 ?

The solution to (2/(3x)-1/(4y))^2 is ((8y-3x)^2)/(144x^2y^2)

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simplify (2/(3x)-1/(4y))^2

simplify

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

\frac{( 8 y - 3 x ) ^{2}}{144 x ^{2} y ^{2}}

Solution steps

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

Join

\frac{2}{3 x} - \frac{1}{4 y} : \frac{8 y - 3 x}{12 x y}

= (\frac{8 y - 3 x}{12 x y})^{2}

Apply exponent rule:

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

= \frac{( 8 y - 3 x ) ^{2}}{( 12 x y ) ^{2}}

Simplify

(12 x y)^{2} : 144 x^{2} y^{2}

= \frac{( 8 y - 3 x ) ^{2}}{144 x ^{2} y ^{2}}

512 + 375 - 21029

(- 7 x^{5} + 14 - 2 x) + (10 x^{4} + 7 x + 5 x^{5})

(5 - 1) (- 516)

(5 a + 2) (a + 4)

(1 - x) (1 - x) (1 - x)

What is (2/(3x)-1/(4y))^2 ?
The solution to (2/(3x)-1/(4y))^2 is ((8y-3x)^2)/(144x^2y^2)