What is (4x^2-y^2)/(\frac{xy){2/y-1/x}} ?

The solution to (4x^2-y^2)/(\frac{xy){2/y-1/x}} is ((4x^2-y^2)(2x-y))/(x^2y^2)

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simplify (4x^2-y^2)/(\frac{xy){2/y-1/x}}

simplify

\frac{4 x ^{2} - y ^{2}}{\frac{x y}{\frac{2}{y} - \frac{1}{x}}}

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

Solution steps

\frac{4 x ^{2} - y ^{2}}{\frac{x y}{\frac{2}{y} - \frac{1}{x}}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

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

Simplify

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

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

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

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

Simplify

x y x y : x^{2} y^{2}

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

- 1 x^{2} + 3 x + 10

x^{2} - 2 x + 35 = 0

2 x^{4} + x^{2} - 6

\frac{3}{11} + \frac{3}{10} + \frac{5}{14}

\frac{3}{2} - 1

What is (4x^2-y^2)/(\frac{xy){2/y-1/x}} ?
The solution to (4x^2-y^2)/(\frac{xy){2/y-1/x}} is ((4x^2-y^2)(2x-y))/(x^2y^2)