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

The solution to ((2x+3y)^2-(2x-3y)^2)/(xy) is 24

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

simplify

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

24

Solution steps

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

Factor

(2 x + 3 y)^{2} - (2 x - 3 y)^{2} : 24 x y

= \frac{24 x y}{x y}

Cancel the common factor:

x

= \frac{24 y}{y}

Cancel the common factor:

y

= 24

(7 x^{2} - 2 x - 5) + (4 x^{2} - 6 x + 3)

50 k^{8}

\frac{5}{12 x ^{- 3}} - \frac{2}{15 x ^{- 2}}

\frac{64 2 ( \frac{1}{4} ) ^{2}}{2 ^{\frac{3}{2}}}

3 x + (8 x - 16)

What is ((2x+3y)^2-(2x-3y)^2)/(xy) ?
The solution to ((2x+3y)^2-(2x-3y)^2)/(xy) is 24