What is (3x)/(4y^2)-y/(10x) ?

The solution to (3x)/(4y^2)-y/(10x) is (15x^2-2y^3)/(20xy^2)

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simplify (3x)/(4y^2)-y/(10x)

simplify

\frac{3 x}{4 y ^{2}} - \frac{y}{10 x}

\frac{15 x ^{2} - 2 y ^{3}}{20 x y ^{2}}

Solution steps

\frac{3 x}{4 y ^{2}} - \frac{y}{10 x}

Least Common Multiplier of

4 y^{2}, 10 x : 20 x y^{2}

Adjust Fractions based on the LCM

= \frac{15 x ^{2}}{20 x y ^{2}} - \frac{2 y ^{3}}{20 x y ^{2}}

Apply the fraction rule:

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

= \frac{15 x ^{2} - 2 y ^{3}}{20 x y ^{2}}

0 = 3 x^{2} + 8 x - 3

\frac{x + 3}{4} = \frac{x + 4}{5}

7^{2 n} \geq 5 2^{4 n + 3}

x - 6 > \frac{2}{x}

4 (3 x + 5) = 3 (5 x - 3)

What is (3x)/(4y^2)-y/(10x) ?
The solution to (3x)/(4y^2)-y/(10x) is (15x^2-2y^3)/(20xy^2)