What is (x^2)/(y^2)+(y^2)/(x^2) ?

The solution to (x^2)/(y^2)+(y^2)/(x^2) is (x^4+y^4)/(x^2y^2)

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simplify (x^2)/(y^2)+(y^2)/(x^2)

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

x^{4} + x^{3} - 2

(x + x^{2} + x^{3})^{3}

\frac{v}{( x ^{2} \cdot y ^{3} )} + \frac{u}{x} - w

12 x^{4} + 24 x^{3} y - 36 x^{2} y^{2}

(3 a + 4 a)^{2} + (3 a - 4 a)^{2}

What is (x^2)/(y^2)+(y^2)/(x^2) ?
The solution to (x^2)/(y^2)+(y^2)/(x^2) is (x^4+y^4)/(x^2y^2)