What is (3x)/(5(x+y))-(2y)/(3(x+y)) ?

The solution to (3x)/(5(x+y))-(2y)/(3(x+y)) is (9x-10y)/(15(x+y))

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simplify (3x)/(5(x+y))-(2y)/(3(x+y))

simplify

\frac{3 x}{5 ( x + y )} - \frac{2 y}{3 ( x + y )}

\frac{9 x - 10 y}{15 ( x + y )}

Solution steps

\frac{3 x}{5 ( x + y )} - \frac{2 y}{3 ( x + y )}

Least Common Multiplier of

5 (x + y), 3 (x + y) : 15 (x + y)

Adjust Fractions based on the LCM

= \frac{9 x}{15 ( x + y )} - \frac{10 y}{15 ( x + y )}

Apply the fraction rule:

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

= \frac{9 x - 10 y}{15 ( x + y )}

49 x^{2} + 28 x + 4

\frac{1}{3} c + 5 = - 4

x^{2} y + x y^{2} + 2 x yz + x y^{2} + y^{3} + 2 y^{2} z

x^{2} + 25 = 0

\frac{x}{5} = 7

What is (3x)/(5(x+y))-(2y)/(3(x+y)) ?
The solution to (3x)/(5(x+y))-(2y)/(3(x+y)) is (9x-10y)/(15(x+y))