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

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

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

simplify

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

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

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

Simplify

(2 x y + 3) (2 x - \frac{3}{y}) : \frac{( 2 x y + 3 ) ( 2 x y - 3 )}{y}

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

Apply the fraction rule:

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

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

Apply exponent rule:

aa = a^{2}

yy = y^{2}

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

x^{2} (2 cos (x) - 4 x sin (x) - x^{2} cos (x))

(x + e^{x})^{2}

e^{3 x} (4 - 2 x) - 2

- \frac{3}{16} (- \frac{19}{4} + (- \frac{3}{4} ln (\frac{9}{57 - 64 x})))

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