What is ((2/(x+y))}{(\frac{x+y)/2)} ?

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

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simplify ((2/(x+y))}{(\frac{x+y)/2)}

simplify

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

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

Solution steps

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

Apply the fraction rule:

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

= \frac{2 \cdot 2}{( x + y ) ( x + y )}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{4}{( x + y ) ( x + y )}

Apply exponent rule:

aa = a^{2}

(x + y) (x + y) = (x + y)^{2}

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

2 (29 + 4 (5))^{- \frac{1}{2}}

4 x + 2 [4 - 2 (x + 2)] = 2 x - 4

2 x^{3} - 18 x - x^{2} y + 9 y

\frac{1}{- \frac{12}{13}}

\frac{4}{7} (x - 5) = 12

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