What is 5/(12x^4y)-1/(5x^2y^3) ?

The solution to 5/(12x^4y)-1/(5x^2y^3) is (25y^2-12x^2)/(60x^4y^3)

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simplify 5/(12x^4y)-1/(5x^2y^3)

simplify

\frac{5}{12 x ^{4} y} - \frac{1}{5 x ^{2} y ^{3}}

\frac{25 y ^{2} - 12 x ^{2}}{60 x ^{4} y ^{3}}

Solution steps

\frac{5}{12 x ^{4} y} - \frac{1}{5 x ^{2} y ^{3}}

Least Common Multiplier of

12 x^{4} y, 5 x^{2} y^{3} : 60 x^{4} y^{3}

Adjust Fractions based on the LCM

= \frac{25 y ^{2}}{60 x ^{4} y ^{3}} - \frac{12 x ^{2}}{60 x ^{4} y ^{3}}

Apply the fraction rule:

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

= \frac{25 y ^{2} - 12 x ^{2}}{60 x ^{4} y ^{3}}

9 x^{2} = 16

4^{\frac{3}{2}}

x^{2} - 2 x + 1 \geq 0

25 = q + 20

\frac{7 x}{3} = 14

What is 5/(12x^4y)-1/(5x^2y^3) ?
The solution to 5/(12x^4y)-1/(5x^2y^3) is (25y^2-12x^2)/(60x^4y^3)