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

The solution to 4/(3xy)+3/(2x^2) is (8x+9y)/(6x^2y)

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simplify 4/(3xy)+3/(2x^2)

simplify

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

\frac{8 x + 9 y}{6 x ^{2} y}

Solution steps

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

Least Common Multiplier of

3 x y, 2 x^{2} : 6 x^{2} y

Adjust Fractions based on the LCM

= \frac{8 x}{6 x ^{2} y} + \frac{9 y}{6 x ^{2} y}

Apply the fraction rule:

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

= \frac{8 x + 9 y}{6 x ^{2} y}

5 (\frac{x}{5})

x^{2} y + x^{4} y

5 m^{4} - 20

\frac{- 3}{- 12}

3 \cdot (- 14)