What is 4/(3x)+8/(x^3)+2/(5xy) ?

The solution to 4/(3x)+8/(x^3)+2/(5xy) is (20x^2y+120y+6x^2)/(15x^3y)

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simplify 4/(3x)+8/(x^3)+2/(5xy)

simplify

\frac{4}{3 x} + \frac{8}{x ^{3}} + \frac{2}{5 x y}

\frac{20 x ^{2} y + 120 y + 6 x ^{2}}{15 x ^{3} y}

Solution steps

\frac{4}{3 x} + \frac{8}{x ^{3}} + \frac{2}{5 x y}

Least Common Multiplier of

3 x, x^{3}, 5 x y : 15 x^{3} y

Adjust Fractions based on the LCM

= \frac{20 x ^{2} y}{15 x ^{3} y} + \frac{120 y}{15 x ^{3} y} + \frac{6 x ^{2}}{15 x ^{3} y}

Apply the fraction rule:

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

= \frac{20 x ^{2} y + 120 y + 6 x ^{2}}{15 x ^{3} y}

\frac{2 x + 7}{- 3} \leq x - 9

1 \times (- 4) - 8 \times \frac{9}{- 3}

6 y^{2} - 4 y

(- 13)^{- 1}

\frac{1}{3} \cdot 12

What is 4/(3x)+8/(x^3)+2/(5xy) ?
The solution to 4/(3x)+8/(x^3)+2/(5xy) is (20x^2y+120y+6x^2)/(15x^3y)