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

The solution to (x^2-y^2)/(x^3-y^3) is (x+y)/(x^2+xy+y^2)

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

simplify

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

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

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

= \frac{( x + y ) ( x - y )}{x ^{3} - y ^{3}}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

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

Cancel the common factor:

x - y

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

x + 5 \geq 8

\frac{2 π}{3} - 2 π

\frac{x ^{8} x ^{- 4}}{y ^{5} y ^{6}}

8 x^{2} + 26 x + 15 = 0

2.4 = (\frac{v + 20}{2}) \cdot 59

What is (x^2-y^2)/(x^3-y^3) ?
The solution to (x^2-y^2)/(x^3-y^3) is (x+y)/(x^2+xy+y^2)