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

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

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

simplify

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

x^{2} + y^{2}

Solution steps

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

Factor

x^{4} - y^{4} : (x^{2} + y^{2}) (x^{2} - y^{2})

= \frac{( x ^{2} + y ^{2} ) ( x ^{2} - y ^{2} )}{x ^{2} - y ^{2}}

Cancel the common factor:

x^{2} - y^{2}

= x^{2} + y^{2}

\frac{( 2 n ) !}{( 2 n + 1 ) !}

(a + b) (2 a + 3 b) (2 x - y)

\frac{3}{14}

7 (x + 3)

\frac{10}{22}