What is (5x+3y)/(2x^2y)-(3x+4y)/(xy^2) ?

The solution to (5x+3y)/(2x^2y)-(3x+4y)/(xy^2) is (-3xy+3y^2-6x^2)/(2x^2y^2)

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simplify (5x+3y)/(2x^2y)-(3x+4y)/(xy^2)

simplify

\frac{5 x + 3 y}{2 x ^{2} y} - \frac{3 x + 4 y}{x y ^{2}}

\frac{- 3 x y + 3 y ^{2} - 6 x ^{2}}{2 x ^{2} y ^{2}}

Solution steps

\frac{5 x + 3 y}{2 x ^{2} y} - \frac{3 x + 4 y}{x y ^{2}}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{( 5 x + 3 y ) y}{2 x ^{2} y ^{2}} - \frac{( 3 x + 4 y ) \cdot 2 x}{2 x ^{2} y ^{2}}

Apply the fraction rule:

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

= \frac{( 5 x + 3 y ) y - ( 3 x + 4 y ) \cdot 2 x}{2 x ^{2} y ^{2}}

Simplify

(5 x + 3 y) y - (3 x + 4 y) \cdot 2 x : - 3 x y + 3 y^{2} - 6 x^{2}

= \frac{- 3 x y + 3 y ^{2} - 6 x ^{2}}{2 x ^{2} y ^{2}}

16 t^{2} + 80 t + 32 = 0

- 2 x^{2} + 8

(x - 4) (x + 1) (x - 9) \geq 0

lo g_{3} (x + 3) < 3

\frac{4 a}{3 b c} + \frac{15 b}{5 a c}

What is (5x+3y)/(2x^2y)-(3x+4y)/(xy^2) ?
The solution to (5x+3y)/(2x^2y)-(3x+4y)/(xy^2) is (-3xy+3y^2-6x^2)/(2x^2y^2)